13800618909900 has 72 divisors (see below), whose sum is σ = 44366434133840. Its totient is φ = 3680165041920.

The previous prime is 13800618909853. The next prime is 13800618909919. The reversal of 13800618909900 is 990981600831.

13800618909900 is a `hidden beast` number, since 13 + 8 + 0 + 0 + 618 + 9 + 0 + 9 + 9 + 0 + 0 = 666.

13800618909900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 2555667469 + ... + 2555672868.

Almost surely, 2^{13800618909900} is an apocalyptic number.

13800618909900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13800618909900 is an abundant number, since it is smaller than the sum of its proper divisors (30565815223940).

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

13800618909900 is a wasteful number, since it uses less digits than its factorization.

13800618909900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111340360 (or 5111340347 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 13800618909900 in words is "thirteen trillion, eight hundred billion, six hundred eighteen million, nine hundred nine thousand, nine hundred".