18856022400 has 672 divisors, whose sum is σ = 71540566200. Its totient is φ = 4906967040.

The previous prime is 18856022387. The next prime is 18856022417. The reversal of 18856022400 is 422065881.

18856022400 is a `hidden beast` number, since 1 + 8 + 8 + 5 + 602 + 2 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 137635132 + ... + 137635268.

Almost surely, 2^18856022400 is an apocalyptic number.

18856022400 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 18856022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35770283100).

18856022400 is an abundant number, since it is smaller than the sum of its proper divisors (52684543800).

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

18856022400 is an equidigital number, since it uses as much as digits as its factorization.

18856022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 18856022400 in words is "eighteen billion, eight hundred fifty-six million, twenty-two thousand, four hundred".