59479724304 has 1920 divisors, whose sum is σ = 262063226880. Its totient is φ = 12541132800.

The previous prime is 59479724299. The next prime is 59479724327. The reversal of 59479724304 is 40342797495.

59479724304 is a `hidden beast` number, since 594 + 7 + 9 + 7 + 2 + 43 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1918700769 + ... + 1918700799.

It is an arithmetic number, because the mean of its divisors is an integer number (136491264).

Almost surely, 2^59479724304 is an apocalyptic number.

59479724304 is a gapful number since it is divisible by the number (54) 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 59479724304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131031613440).

59479724304 is an abundant number, since it is smaller than the sum of its proper divisors (202583502576).

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

59479724304 is a wasteful number, since it uses less digits than its factorization.

59479724304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 59479724304 in words is "fifty-nine billion, four hundred seventy-nine million, seven hundred twenty-four thousand, three hundred four".