10577907648 has 168 divisors, whose sum is σ = 37801296000. Its totient is φ = 2747496960.

The previous prime is 10577907647. The next prime is 10577907661. The reversal of 10577907648 is 84670977501.

10577907648 is a `hidden beast` number, since 1 + 0 + 577 + 9 + 0 + 7 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10577907648² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10577907594 and 10577907603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10577907643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74898 + ... + 163601.

Almost surely, 2^10577907648 is an apocalyptic number.

10577907648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10577907648 is an abundant number, since it is smaller than the sum of its proper divisors (27223388352).

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

10577907648 is a wasteful number, since it uses less digits than its factorization.

10577907648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238535 (or 238522 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 10577907648 in words is "ten billion, five hundred seventy-seven million, nine hundred seven thousand, six hundred forty-eight".