104518402560 has 480 divisors, whose sum is σ = 425272655808. Its totient is φ = 23387996160.

The previous prime is 104518402529. The next prime is 104518402577. The reversal of 104518402560 is 65204815401.

It is a happy number.

104518402560 is a `hidden beast` number, since 1 + 0 + 4 + 51 + 8 + 40 + 2 + 560 = 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3278859 + ... + 3310581.

Almost surely, 2^104518402560 is an apocalyptic number.

104518402560 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 104518402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212636327904).

104518402560 is an abundant number, since it is smaller than the sum of its proper divisors (320754253248).

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

104518402560 is a wasteful number, since it uses less digits than its factorization.

104518402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31776 (or 31757 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 104518402560 in words is "one hundred four billion, five hundred eighteen million, four hundred two thousand, five hundred sixty".