18800955360 has 480 divisors, whose sum is σ = 74091169152. Its totient is φ = 4450360320.

The previous prime is 18800955253. The next prime is 18800955479. The reversal of 18800955360 is 6355900881.

18800955360 is a `hidden beast` number, since 18 + 80 + 0 + 9 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 6128547 + ... + 6131613.

Almost surely, 2^18800955360 is an apocalyptic number.

18800955360 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 18800955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37045584576).

18800955360 is an abundant number, since it is smaller than the sum of its proper divisors (55290213792).

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

18800955360 is a wasteful number, since it uses less digits than its factorization.

18800955360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 18800955360 in words is "eighteen billion, eight hundred million, nine hundred fifty-five thousand, three hundred sixty".