16379665952400 has 135 divisors (see below), whose sum is σ = 56842833464859. Its totient is φ = 4367846165760.

The previous prime is 16379665952383. The next prime is 16379665952413. The reversal of 16379665952400 is 425956697361.

The square root of 16379665952400 is 4047180.

It is a perfect power (a square), and thus also a powerful number.

16379665952400 is a `hidden beast` number, since 1 + 6 + 3 + 79 + 66 + 59 + 52 + 400 = 666.

16379665952400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6855578675856 + 9524087276544 = 2618316^2 + 3086112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 242797074 + ... + 242864526.

Almost surely, 2^{16379665952400} is an apocalyptic number.

16379665952400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16379665952400 is the 4047180-th square number.

It is an amenable number.

16379665952400 is an abundant number, since it is smaller than the sum of its proper divisors (40463167512459).

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

16379665952400 is an frugal number, since it uses more digits than its factorization.

16379665952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134930 (or 67463 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 16379665952400 in words is "sixteen trillion, three hundred seventy-nine billion, six hundred sixty-five million, nine hundred fifty-two thousand, four hundred".