10657877385960 has 896 divisors, whose sum is σ = 43664985550080. Its totient is φ = 2284474834944.

The previous prime is 10657877385941. The next prime is 10657877385997. The reversal of 10657877385960 is 6958377875601.

10657877385960 is a `hidden beast` number, since 10 + 6 + 578 + 7 + 7 + 38 + 5 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×10657877385960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 982015894 + ... + 982026746.

Almost surely, 2^{10657877385960} is an apocalyptic number.

10657877385960 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 10657877385960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21832492775040).

10657877385960 is an abundant number, since it is smaller than the sum of its proper divisors (33007108164120).

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

10657877385960 is a wasteful number, since it uses less digits than its factorization.

10657877385960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11189 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 10657877385960 in words is "ten trillion, six hundred fifty-seven billion, eight hundred seventy-seven million, three hundred eighty-five thousand, nine hundred sixty".