1055642311680 has 352 divisors, whose sum is σ = 3716015194368. Its totient is φ = 253643980800.

The previous prime is 1055642311663. The next prime is 1055642311709. The reversal of 1055642311680 is 861132465501.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1055642311680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19064835 + ... + 19120125.

Almost surely, 2^{1055642311680} is an apocalyptic number.

1055642311680 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 1055642311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858007597184).

1055642311680 is an abundant number, since it is smaller than the sum of its proper divisors (2660372882688).

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

1055642311680 is a wasteful number, since it uses less digits than its factorization.

1055642311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55443 (or 55425 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1055642311680 in words is "one trillion, fifty-five billion, six hundred forty-two million, three hundred eleven thousand, six hundred eighty".