500055977520 has 320 divisors, whose sum is σ = 1960695936000. Its totient is φ = 115954882560.

The previous prime is 500055977489. The next prime is 500055977549. The reversal of 500055977520 is 25779550005.

500055977520 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 5 + 59 + 77 + 520 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88956 + ... + 1004004.

It is an arithmetic number, because the mean of its divisors is an integer number (6127174800).

Almost surely, 2^500055977520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500055977520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980347968000).

500055977520 is an abundant number, since it is smaller than the sum of its proper divisors (1460639958480).

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

500055977520 is a wasteful number, since it uses less digits than its factorization.

500055977520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915105 (or 915093 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The spelling of 500055977520 in words is "five hundred billion, fifty-five million, nine hundred seventy-seven thousand, five hundred twenty".