15616036400 has 120 divisors (see below), whose sum is σ = 38008088160. Its totient is φ = 6165319680.

The previous prime is 15616036367. The next prime is 15616036421. The reversal of 15616036400 is 463061651.

It is a super-2 number, since 2×15616036400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10486856 + ... + 10488344.

It is an arithmetic number, because the mean of its divisors is an integer number (316734068).

Almost surely, 2^15616036400 is an apocalyptic number.

15616036400 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 15616036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004044080).

15616036400 is an abundant number, since it is smaller than the sum of its proper divisors (22392051760).

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

15616036400 is a wasteful number, since it uses less digits than its factorization.

15616036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 15616036400 in words is "fifteen billion, six hundred sixteen million, thirty-six thousand, four hundred".