13857998400 has 441 divisors, whose sum is σ = 51598963731. Its totient is φ = 3661562880.

The previous prime is 13857998381. The next prime is 13857998447. The reversal of 13857998400 is 489975831.

The square root of 13857998400 is 117720.

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

13857998400 is a `hidden beast` number, since 1 + 3 + 85 + 79 + 98 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50808384 + 13807190016 = 7128^2 + 117504^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 127137546 + ... + 127137654.

Almost surely, 2^13857998400 is an apocalyptic number.

13857998400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13857998400 is the 117720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13857998400

13857998400 is an abundant number, since it is smaller than the sum of its proper divisors (37740965331).

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

13857998400 is an frugal number, since it uses more digits than its factorization.

13857998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 13857998400 in words is "thirteen billion, eight hundred fifty-seven million, nine hundred ninety-eight thousand, four hundred".