13800630182400 has 1680 divisors, whose sum is σ = 52688928067776. Its totient is φ = 3579717058560.

The previous prime is 13800630182369. The next prime is 13800630182441. The reversal of 13800630182400 is 428103600831.

13800630182400 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 0 + 630 + 18 + 2 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 79772428714 + ... + 79772428886.

Almost surely, 2^{13800630182400} is an apocalyptic number.

13800630182400 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 13800630182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26344464033888).

13800630182400 is an abundant number, since it is smaller than the sum of its proper divisors (38888297885376).

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

13800630182400 is an equidigital number, since it uses as much as digits as its factorization.

13800630182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13800630182400 in words is "thirteen trillion, eight hundred billion, six hundred thirty million, one hundred eighty-two thousand, four hundred".