18794575800 has 1920 divisors, whose sum is σ = 93768998400. Its totient is φ = 3359232000.

The previous prime is 18794575769. The next prime is 18794575823. The reversal of 18794575800 is 857549781.

18794575800 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 4 + 57 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 308107770 + ... + 308107830.

It is an arithmetic number, because the mean of its divisors is an integer number (48838020).

Almost surely, 2^18794575800 is an apocalyptic number.

18794575800 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 18794575800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46884499200).

18794575800 is an abundant number, since it is smaller than the sum of its proper divisors (74974422600).

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

18794575800 is a wasteful number, since it uses less digits than its factorization.

18794575800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 18794575800 in words is "eighteen billion, seven hundred ninety-four million, five hundred seventy-five thousand, eight hundred".