15127668400 has 60 divisors (see below), whose sum is σ = 39139946272. Its totient is φ = 5585598720.

The previous prime is 15127668379. The next prime is 15127668403. The reversal of 15127668400 is 486672151.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (15127668403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1449384 + ... + 1459783.

Almost surely, 2^15127668400 is an apocalyptic number.

15127668400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15127668400 is an abundant number, since it is smaller than the sum of its proper divisors (24012277872).

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

15127668400 is a wasteful number, since it uses less digits than its factorization.

15127668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909198 (or 2909187 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 15127668400 in words is "fifteen billion, one hundred twenty-seven million, six hundred sixty-eight thousand, four hundred".