59981468064 has 192 divisors, whose sum is σ = 182985062400. Its totient is φ = 16848995328.

The previous prime is 59981468059. The next prime is 59981468081. The reversal of 59981468064 is 46086418995.

59981468064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×59981468064² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59981467989 and 59981468007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31921077 + ... + 31922955.

It is an arithmetic number, because the mean of its divisors is an integer number (953047200).

Almost surely, 2^59981468064 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 59981468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91492531200).

59981468064 is an abundant number, since it is smaller than the sum of its proper divisors (123003594336).

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

59981468064 is a wasteful number, since it uses less digits than its factorization.

59981468064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 59981468064 in words is "fifty-nine billion, nine hundred eighty-one million, four hundred sixty-eight thousand, sixty-four".