58752355680 has 288 divisors, whose sum is σ = 207409483008. Its totient is φ = 15128985600.

The previous prime is 58752355637. The next prime is 58752355703. The reversal of 58752355680 is 8655325785.

It is a happy number.

58752355680 is a `hidden beast` number, since 5 + 8 + 7 + 5 + 2 + 3 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25756140 + ... + 25758420.

It is an arithmetic number, because the mean of its divisors is an integer number (720171816).

Almost surely, 2^58752355680 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 58752355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103704741504).

58752355680 is an abundant number, since it is smaller than the sum of its proper divisors (148657127328).

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

58752355680 is a wasteful number, since it uses less digits than its factorization.

58752355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 58752355680 in words is "fifty-eight billion, seven hundred fifty-two million, three hundred fifty-five thousand, six hundred eighty".