13876815398400 has 1080 divisors, whose sum is σ = 51696900014760. Its totient is φ = 3554515353600.

The previous prime is 13876815398357. The next prime is 13876815398429. The reversal of 13876815398400 is 489351867831.

13876815398400 is a `hidden beast` number, since 1 + 3 + 8 + 76 + 8 + 153 + 9 + 8 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18045273216 + ... + 18045273984.

Almost surely, 2^{13876815398400} is an apocalyptic number.

13876815398400 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 13876815398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25848450007380).

13876815398400 is an abundant number, since it is smaller than the sum of its proper divisors (37820084616360).

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

13876815398400 is a wasteful number, since it uses less digits than its factorization.

13876815398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 13876815398400 in words is "thirteen trillion, eight hundred seventy-six billion, eight hundred fifteen million, three hundred ninety-eight thousand, four hundred".