59916415104 has 768 divisors, whose sum is σ = 222411571200. Its totient is φ = 15059312640.

The previous prime is 59916415103. The next prime is 59916415109. The reversal of 59916415104 is 40151461995.

59916415104 is a `hidden beast` number, since 5 + 9 + 91 + 6 + 41 + 510 + 4 = 666.

59916415104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 59916415104.

It is not an unprimeable number, because it can be changed into a prime (59916415103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334728487 + ... + 334728665.

It is an arithmetic number, because the mean of its divisors is an integer number (289598400).

Almost surely, 2^59916415104 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 59916415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111205785600).

59916415104 is an abundant number, since it is smaller than the sum of its proper divisors (162495156096).

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

59916415104 is a wasteful number, since it uses less digits than its factorization.

59916415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 59916415104 in words is "fifty-nine billion, nine hundred sixteen million, four hundred fifteen thousand, one hundred four".