15120816400 has 120 divisors (see below), whose sum is σ = 38832764544. Its totient is φ = 5644108800.

The previous prime is 15120816329. The next prime is 15120816421. The reversal of 15120816400 is 461802151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357157 + ... + 397243.

Almost surely, 2^15120816400 is an apocalyptic number.

15120816400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15120816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416382272).

15120816400 is an abundant number, since it is smaller than the sum of its proper divisors (23711948144).

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

15120816400 is a wasteful number, since it uses less digits than its factorization.

15120816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40169 (or 40158 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 15120816400 in words is "fifteen billion, one hundred twenty million, eight hundred sixteen thousand, four hundred".