10557495936 has 640 divisors, whose sum is σ = 36440989200. Its totient is φ = 3009871872.

The previous prime is 10557495889. The next prime is 10557495979. The reversal of 10557495936 is 63959475501.

10557495936 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 7 + 49 + 593 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6102734400 + 4454761536 = 78120^2 + 66744^2 .

It is a super-2 number, since 2×10557495936² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144623196 + ... + 144623268.

Almost surely, 2^10557495936 is an apocalyptic number.

10557495936 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 10557495936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220494600).

10557495936 is an abundant number, since it is smaller than the sum of its proper divisors (25883493264).

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

10557495936 is a wasteful number, since it uses less digits than its factorization.

10557495936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 10557495936 in words is "ten billion, five hundred fifty-seven million, four hundred ninety-five thousand, nine hundred thirty-six".