104588305920 has 1280 divisors, whose sum is σ = 462598963200. Its totient is φ = 21857402880.

The previous prime is 104588305891. The next prime is 104588305933. The reversal of 104588305920 is 29503885401.

104588305920 is a `hidden beast` number, since 1 + 0 + 4 + 58 + 8 + 3 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 284981577 + ... + 284981943.

It is an arithmetic number, because the mean of its divisors is an integer number (361405440).

Almost surely, 2^104588305920 is an apocalyptic number.

104588305920 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 104588305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231299481600).

104588305920 is an abundant number, since it is smaller than the sum of its proper divisors (358010657280).

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

104588305920 is a wasteful number, since it uses less digits than its factorization.

104588305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 104588305920 in words is "one hundred four billion, five hundred eighty-eight million, three hundred five thousand, nine hundred twenty".