58752998882064 has 240 divisors, whose sum is σ = 178724607589440. Its totient is φ = 18476580971520.

The previous prime is 58752998882063. The next prime is 58752998882069. The reversal of 58752998882064 is 46028889925785.

58752998882064 is a `hidden beast` number, since 5 + 8 + 7 + 529 + 9 + 8 + 8 + 8 + 20 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (58752998882063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36802819 + ... + 38366045.

It is an arithmetic number, because the mean of its divisors is an integer number (744685864956).

Almost surely, 2^{58752998882064} is an apocalyptic number.

58752998882064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58752998882064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89362303794720).

58752998882064 is an abundant number, since it is smaller than the sum of its proper divisors (119971608707376).

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

58752998882064 is a wasteful number, since it uses less digits than its factorization.

58752998882064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563523 (or 1563492 counting only the distinct ones).

The product of its (nonzero) digits is 5573836800, while the sum is 81.

The spelling of 58752998882064 in words is "fifty-eight trillion, seven hundred fifty-two billion, nine hundred ninety-eight million, eight hundred eighty-two thousand, sixty-four".