10457542656 has 624 divisors, whose sum is σ = 36708523488. Its totient is φ = 2831155200.

The previous prime is 10457542633. The next prime is 10457542679. The reversal of 10457542656 is 65624575401.

10457542656 is a `hidden beast` number, since 1 + 0 + 4 + 57 + 542 + 6 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (10457542633) and next prime (10457542679).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255061996 + ... + 255062036.

It is an arithmetic number, because the mean of its divisors is an integer number (58827762).

Almost surely, 2^10457542656 is an apocalyptic number.

10457542656 is a gapful number since it is divisible by the number (16) 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 10457542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354261744).

10457542656 is an abundant number, since it is smaller than the sum of its proper divisors (26250980832).

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

10457542656 is a wasteful number, since it uses less digits than its factorization.

10457542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 10457542656 in words is "ten billion, four hundred fifty-seven million, five hundred forty-two thousand, six hundred fifty-six".