59820456960 has 1232 divisors, whose sum is σ = 247435333632. Its totient is φ = 13735526400.

The previous prime is 59820456911. The next prime is 59820457001. The reversal of 59820456960 is 6965402895.

It is a happy number.

59820456960 is a `hidden beast` number, since 59 + 8 + 20 + 4 + 569 + 6 + 0 = 666.

59820456960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 59820456897 and 59820456906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1272775657 + ... + 1272775703.

Almost surely, 2^59820456960 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 59820456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123717666816).

59820456960 is an abundant number, since it is smaller than the sum of its proper divisors (187614876672).

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

59820456960 is a wasteful number, since it uses less digits than its factorization.

59820456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 59820456960 in words is "fifty-nine billion, eight hundred twenty million, four hundred fifty-six thousand, nine hundred sixty".