18855878400 has 648 divisors, whose sum is σ = 72198462336. Its totient is φ = 4683571200.

The previous prime is 18855878303. The next prime is 18855878411. The reversal of 18855878400 is 487855881.

18855878400 is a `hidden beast` number, since 1 + 8 + 8 + 558 + 7 + 84 + 0 + 0 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 56966235 + ... + 56966565.

Almost surely, 2^18855878400 is an apocalyptic number.

18855878400 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 18855878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36099231168).

18855878400 is an abundant number, since it is smaller than the sum of its proper divisors (53342583936).

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

18855878400 is a wasteful number, since it uses less digits than its factorization.

18855878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 18855878400 in words is "eighteen billion, eight hundred fifty-five million, eight hundred seventy-eight thousand, four hundred".