10165478976 has 63 divisors (see below), whose sum is σ = 29144447553. Its totient is φ = 3387686400.

The previous prime is 10165478963. The next prime is 10165478977. The reversal of 10165478976 is 67987456101.

The square root of 10165478976 is 100824.

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

10165478976 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 547 + 8 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 577152576 + 9588326400 = 24024^2 + 97920^2 .

It is a super-2 number, since 2×10165478976² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10165478977) 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, 2417676 + ... + 2421876.

Almost surely, 2^10165478976 is an apocalyptic number.

10165478976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10165478976 is the 100824-th square number.

It is an amenable number.

10165478976 is an abundant number, since it is smaller than the sum of its proper divisors (18978968577).

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

10165478976 is an frugal number, since it uses more digits than its factorization.

10165478976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8420 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10165478976 in words is "ten billion, one hundred sixty-five million, four hundred seventy-eight thousand, nine hundred seventy-six".