18953872560 has 640 divisors, whose sum is σ = 83180390400. Its totient is φ = 3861872640.

The previous prime is 18953872529. The next prime is 18953872583. The reversal of 18953872560 is 6527835981.

18953872560 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 3 + 8 + 72 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18953872497 and 18953872506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4881820 + ... + 4885700.

It is an arithmetic number, because the mean of its divisors is an integer number (129969360).

Almost surely, 2^18953872560 is an apocalyptic number.

18953872560 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 18953872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41590195200).

18953872560 is an abundant number, since it is smaller than the sum of its proper divisors (64226517840).

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

18953872560 is a wasteful number, since it uses less digits than its factorization.

18953872560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 18953872560 in words is "eighteen billion, nine hundred fifty-three million, eight hundred seventy-two thousand, five hundred sixty".