18797978400 has 288 divisors, whose sum is σ = 63443939328. Its totient is φ = 4829414400.

The previous prime is 18797978393. The next prime is 18797978401. The reversal of 18797978400 is 487979781.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (18797978401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22840389 + ... + 22841211.

It is an arithmetic number, because the mean of its divisors is an integer number (220291456).

Almost surely, 2^18797978400 is an apocalyptic number.

18797978400 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 18797978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31721969664).

18797978400 is an abundant number, since it is smaller than the sum of its proper divisors (44645960928).

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

18797978400 is a wasteful number, since it uses less digits than its factorization.

18797978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 60.

The spelling of 18797978400 in words is "eighteen billion, seven hundred ninety-seven million, nine hundred seventy-eight thousand, four hundred".