1055838798432 has 288 divisors, whose sum is σ = 3367187905536. Its totient is φ = 311118796800.

The previous prime is 1055838798431. The next prime is 1055838798433. The reversal of 1055838798432 is 2348978385501.

1055838798432 is a `hidden beast` number, since 1 + 0 + 5 + 583 + 8 + 7 + 9 + 8 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1055838798431) and next prime (1055838798433).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1055838798432² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055838798432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055838798431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16387593 + ... + 16451895.

It is an arithmetic number, because the mean of its divisors is an integer number (11691624672).

Almost surely, 2^{1055838798432} is an apocalyptic number.

1055838798432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055838798432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683593952768).

1055838798432 is an abundant number, since it is smaller than the sum of its proper divisors (2311349107104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055838798432 is a wasteful number, since it uses less digits than its factorization.

1055838798432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64474 (or 64463 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 1055838798432 in words is "one trillion, fifty-five billion, eight hundred thirty-eight million, seven hundred ninety-eight thousand, four hundred thirty-two".