10180164480 has 64 divisors (see below), whose sum is σ = 32449280400. Its totient is φ = 2714710016.

The previous prime is 10180164461. The next prime is 10180164503. The reversal of 10180164480 is 8446108101.

10180164480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2649165 + ... + 2653004.

Almost surely, 2^10180164480 is an apocalyptic number.

10180164480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10180164480 is an abundant number, since it is smaller than the sum of its proper divisors (22269115920).

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

10180164480 is an equidigital number, since it uses as much as digits as its factorization.

10180164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302191 (or 5302179 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 10180164480 in words is "ten billion, one hundred eighty million, one hundred sixty-four thousand, four hundred eighty".