10577738368 has 64 divisors (see below), whose sum is σ = 23486846400. Its totient is φ = 4715753472.

The previous prime is 10577738363. The next prime is 10577738399. The reversal of 10577738368 is 86383777501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10577738368² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10577738363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86580 + ... + 169267.

It is an arithmetic number, because the mean of its divisors is an integer number (366981975).

Almost surely, 2^10577738368 is an apocalyptic number.

It is an amenable number.

10577738368 is an abundant number, since it is smaller than the sum of its proper divisors (12909108032).

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

10577738368 is a wasteful number, since it uses less digits than its factorization.

10577738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255897 (or 255885 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 10577738368 in words is "ten billion, five hundred seventy-seven million, seven hundred thirty-eight thousand, three hundred sixty-eight".