1056097456128 has 624 divisors, whose sum is σ = 3625771705920. Its totient is φ = 291962880000.

The previous prime is 1056097456109. The next prime is 1056097456199. The reversal of 1056097456128 is 8216547906501.

It is a happy number.

1056097456128 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 9 + 74 + 561 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×1056097456128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469167003 + ... + 469169253.

It is an arithmetic number, because the mean of its divisors is an integer number (5810531580).

Almost surely, 2^{1056097456128} is an apocalyptic number.

1056097456128 is a gapful number since it is divisible by the number (18) 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 1056097456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812885852960).

1056097456128 is an abundant number, since it is smaller than the sum of its proper divisors (2569674249792).

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

1056097456128 is a wasteful number, since it uses less digits than its factorization.

1056097456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1056097456128 in words is "one trillion, fifty-six billion, ninety-seven million, four hundred fifty-six thousand, one hundred twenty-eight".