18397882800 has 360 divisors, whose sum is σ = 73749677040. Its totient is φ = 4197580800.

The previous prime is 18397882753. The next prime is 18397882829. The reversal of 18397882800 is 828879381.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659536 + ... + 686864.

It is an arithmetic number, because the mean of its divisors is an integer number (204860214).

Almost surely, 2^18397882800 is an apocalyptic number.

18397882800 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 18397882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36874838520).

18397882800 is an abundant number, since it is smaller than the sum of its proper divisors (55351794240).

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

18397882800 is a wasteful number, since it uses less digits than its factorization.

18397882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27381 (or 27367 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 18397882800 in words is "eighteen billion, three hundred ninety-seven million, eight hundred eighty-two thousand, eight hundred".