18810408960 has 624 divisors, whose sum is σ = 76054417920. Its totient is φ = 4211343360.

The previous prime is 18810408959. The next prime is 18810409003. The reversal of 18810408960 is 6980401881.

18810408960 is a `hidden beast` number, since 188 + 1 + 0 + 408 + 9 + 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78704521 + ... + 78704759.

It is an arithmetic number, because the mean of its divisors is an integer number (121882080).

Almost surely, 2^18810408960 is an apocalyptic number.

18810408960 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 18810408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38027208960).

18810408960 is an abundant number, since it is smaller than the sum of its proper divisors (57244008960).

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

18810408960 is a wasteful number, since it uses less digits than its factorization.

18810408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 18810408960 in words is "eighteen billion, eight hundred ten million, four hundred eight thousand, nine hundred sixty".