18581996160 has 1152 divisors, whose sum is σ = 83163749760. Its totient is φ = 3881779200.

The previous prime is 18581996141. The next prime is 18581996177. The reversal of 18581996160 is 6169918581.

18581996160 is a `hidden beast` number, since 1 + 8 + 5 + 8 + 19 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 18581996097 and 18581996106.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183980110 + ... + 183980210.

It is an arithmetic number, because the mean of its divisors is an integer number (72190755).

Almost surely, 2^18581996160 is an apocalyptic number.

18581996160 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 18581996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41581874880).

18581996160 is an abundant number, since it is smaller than the sum of its proper divisors (64581753600).

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

18581996160 is a wasteful number, since it uses less digits than its factorization.

18581996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 18581996160 in words is "eighteen billion, five hundred eighty-one million, nine hundred ninety-six thousand, one hundred sixty".