58724040960 has 1008 divisors, whose sum is σ = 234204332544. Its totient is φ = 14010236928.

The previous prime is 58724040877. The next prime is 58724040971. The reversal of 58724040960 is 6904042785.

It is a happy number.

58724040960 is a `hidden beast` number, since 587 + 2 + 4 + 0 + 4 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 570136269 + ... + 570136371.

It is an arithmetic number, because the mean of its divisors is an integer number (232345568).

Almost surely, 2^58724040960 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 58724040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117102166272).

58724040960 is an abundant number, since it is smaller than the sum of its proper divisors (175480291584).

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

58724040960 is a wasteful number, since it uses less digits than its factorization.

58724040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 58724040960 in words is "fifty-eight billion, seven hundred twenty-four million, forty thousand, nine hundred sixty".