20112514400 has 72 divisors (see below), whose sum is σ = 53563306104. Its totient is φ = 7313638400.

The previous prime is 20112514393. The next prime is 20112514439. The reversal of 20112514400 is 441521102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 1133957 + ... + 1151556.

It is an arithmetic number, because the mean of its divisors is an integer number (743934807).

Almost surely, 2^20112514400 is an apocalyptic number.

20112514400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112514400 is an abundant number, since it is smaller than the sum of its proper divisors (33450791704).

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

20112514400 is a wasteful number, since it uses less digits than its factorization.

20112514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285544 (or 2285531 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 20112514400 in words is "twenty billion, one hundred twelve million, five hundred fourteen thousand, four hundred".