59904987264 has 320 divisors, whose sum is σ = 190402502400. Its totient is φ = 18654935040.

The previous prime is 59904987257. The next prime is 59904987269. The reversal of 59904987264 is 46278940995.

59904987264 is a `hidden beast` number, since 59 + 90 + 498 + 7 + 2 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (59904987269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9317619 + ... + 9324045.

It is an arithmetic number, because the mean of its divisors is an integer number (595007820).

Almost surely, 2^59904987264 is an apocalyptic number.

59904987264 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 59904987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95201251200).

59904987264 is an abundant number, since it is smaller than the sum of its proper divisors (130497515136).

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

59904987264 is a wasteful number, since it uses less digits than its factorization.

59904987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6513 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 59904987264 in words is "fifty-nine billion, nine hundred four million, nine hundred eighty-seven thousand, two hundred sixty-four".