10577916801 has 9 divisors (see below), whose sum is σ = 15279658849. Its totient is φ = 7051738836.

The previous prime is 10577916793. The next prime is 10577916857. The reversal of 10577916801 is 10861977501.

The square root of 10577916801 is 102849.

It is a perfect power (a square), and thus also a powerful number.

10577916801 is a `hidden beast` number, since 10 + 577 + 9 + 1 + 68 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10577916801 - 2³ = 10577916793 is a prime.

It is a super-2 number, since 2×10577916801² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10577916871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 291406 + ... + 325688.

Almost surely, 2^10577916801 is an apocalyptic number.

10577916801 is the 102849-th square number.

10577916801 is the 51425-th centered octagonal number.

It is an amenable number.

10577916801 is a deficient number, since it is larger than the sum of its proper divisors (4701742048).

10577916801 is an frugal number, since it uses more digits than its factorization.

10577916801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68572 (or 34286 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 10577916801 in words is "ten billion, five hundred seventy-seven million, nine hundred sixteen thousand, eight hundred one".