59968250160 has 480 divisors, whose sum is σ = 234065018880. Its totient is φ = 12588742656.

The previous prime is 59968250143. The next prime is 59968250161. The reversal of 59968250160 is 6105286995.

59968250160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (59968250161) 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, 34091361 + ... + 34093119.

It is an arithmetic number, because the mean of its divisors is an integer number (487635456).

Almost surely, 2^59968250160 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 59968250160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117032509440).

59968250160 is an abundant number, since it is smaller than the sum of its proper divisors (174096768720).

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

59968250160 is a wasteful number, since it uses less digits than its factorization.

59968250160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 59968250160 in words is "fifty-nine billion, nine hundred sixty-eight million, two hundred fifty thousand, one hundred sixty".