1056454882560 has 1728 divisors, whose sum is σ = 4762573111296. Its totient is φ = 209815142400.

The previous prime is 1056454882541. The next prime is 1056454882579. The reversal of 1056454882560 is 652884546501.

1056454882560 is a `hidden beast` number, since 1 + 0 + 56 + 454 + 8 + 82 + 5 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1056454882541) and next prime (1056454882579).

It is a super-2 number, since 2×1056454882560² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056454882497 and 1056454882506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2832318534 + ... + 2832318906.

Almost surely, 2^{1056454882560} is an apocalyptic number.

1056454882560 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 1056454882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381286555648).

1056454882560 is an abundant number, since it is smaller than the sum of its proper divisors (3706118228736).

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

1056454882560 is a wasteful number, since it uses less digits than its factorization.

1056454882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 1056454882560 in words is "one trillion, fifty-six billion, four hundred fifty-four million, eight hundred eighty-two thousand, five hundred sixty".