18898790400 has 1296 divisors, whose sum is σ = 84283355520. Its totient is φ = 4180377600.

The previous prime is 18898790359. The next prime is 18898790411. The reversal of 18898790400 is 409789881.

18898790400 is a `hidden beast` number, since 1 + 88 + 98 + 79 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 107 ways as a sum of consecutive naturals, for example, 609638385 + ... + 609638415.

Almost surely, 2^18898790400 is an apocalyptic number.

18898790400 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 18898790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42141677760).

18898790400 is an abundant number, since it is smaller than the sum of its proper divisors (65384565120).

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

18898790400 is an equidigital number, since it uses as much as digits as its factorization.

18898790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 18898790400 in words is "eighteen billion, eight hundred ninety-eight million, seven hundred ninety thousand, four hundred".