10182564103920 has 80 divisors (see below), whose sum is σ = 33994098634272. Its totient is φ = 2506477317120.

The previous prime is 10182564103909. The next prime is 10182564103931. The reversal of 10182564103920 is 2930146528101.

It is an interprime number because it is at equal distance from previous prime (10182564103909) and next prime (10182564103931).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10182564103920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631818051 + ... + 1631824290.

Almost surely, 2^{10182564103920} is an apocalyptic number.

10182564103920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10182564103920 is an abundant number, since it is smaller than the sum of its proper divisors (23811534530352).

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

10182564103920 is a wasteful number, since it uses less digits than its factorization.

10182564103920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263642370 (or 3263642364 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 10182564103920 in words is "ten trillion, one hundred eighty-two billion, five hundred sixty-four million, one hundred three thousand, nine hundred twenty".