18791163360 has 432 divisors, whose sum is σ = 68236354368. Its totient is φ = 4705413120.

The previous prime is 18791163311. The next prime is 18791163371. The reversal of 18791163360 is 6336119781.

18791163360 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 1 + 1 + 633 + 6 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 51201897 + ... + 51202263.

It is an arithmetic number, because the mean of its divisors is an integer number (157954524).

Almost surely, 2^18791163360 is an apocalyptic number.

18791163360 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 18791163360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34118177184).

18791163360 is an abundant number, since it is smaller than the sum of its proper divisors (49445191008).

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

18791163360 is a wasteful number, since it uses less digits than its factorization.

18791163360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 18791163360 in words is "eighteen billion, seven hundred ninety-one million, one hundred sixty-three thousand, three hundred sixty".