59972973760 has 448 divisors, whose sum is σ = 173487283200. Its totient is φ = 19725189120.

The previous prime is 59972973703. The next prime is 59972973763. The reversal of 59972973760 is 6737927995.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 59972973692 and 59972973701.

It is not an unprimeable number, because it can be changed into a prime (59972973763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457808895 + ... + 457809025.

It is an arithmetic number, because the mean of its divisors is an integer number (387248400).

Almost surely, 2^59972973760 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 59972973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86743641600).

59972973760 is an abundant number, since it is smaller than the sum of its proper divisors (113514309440).

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

59972973760 is a wasteful number, since it uses less digits than its factorization.

59972973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 45008460, while the sum is 64.

The spelling of 59972973760 in words is "fifty-nine billion, nine hundred seventy-two million, nine hundred seventy-three thousand, seven hundred sixty".