18800458560 has 448 divisors, whose sum is σ = 72661881600. Its totient is φ = 4547764224.

The previous prime is 18800458541. The next prime is 18800458571. The reversal of 18800458560 is 6585400881.

18800458560 is a `hidden beast` number, since 1 + 8 + 8 + 0 + 0 + 4 + 585 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6625462 + ... + 6628298.

It is an arithmetic number, because the mean of its divisors is an integer number (162191700).

Almost surely, 2^18800458560 is an apocalyptic number.

18800458560 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 18800458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36330940800).

18800458560 is an abundant number, since it is smaller than the sum of its proper divisors (53861423040).

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

18800458560 is a wasteful number, since it uses less digits than its factorization.

18800458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 18800458560 in words is "eighteen billion, eight hundred million, four hundred fifty-eight thousand, five hundred sixty".