1055267653440 has 1792 divisors, whose sum is σ = 4668385075200. Its totient is φ = 198985973760.

The previous prime is 1055267653439. The next prime is 1055267653441. The reversal of 1055267653440 is 443567625501.

1055267653440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1055267653439) and next prime (1055267653441).

It is a super-2 number, since 2×1055267653440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1055267653440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055267653441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3437353767 + ... + 3437354073.

It is an arithmetic number, because the mean of its divisors is an integer number (2605125600).

Almost surely, 2^{1055267653440} is an apocalyptic number.

1055267653440 is a gapful number since it is divisible by the number (10) 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 1055267653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334192537600).

1055267653440 is an abundant number, since it is smaller than the sum of its proper divisors (3613117421760).

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

1055267653440 is a wasteful number, since it uses less digits than its factorization.

1055267653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 1055267653440 in words is "one trillion, fifty-five billion, two hundred sixty-seven million, six hundred fifty-three thousand, four hundred forty".