58718761920 has 1344 divisors, whose sum is σ = 266191349760. Its totient is φ = 12072001536.

The previous prime is 58718761919. The next prime is 58718761931. The reversal of 58718761920 is 2916781785.

58718761920 is a `hidden beast` number, since 5 + 8 + 7 + 18 + 7 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258672847 + ... + 258673073.

It is an arithmetic number, because the mean of its divisors is an integer number (198059040).

Almost surely, 2^58718761920 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 58718761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133095674880).

58718761920 is an abundant number, since it is smaller than the sum of its proper divisors (207472587840).

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

58718761920 is a wasteful number, since it uses less digits than its factorization.

58718761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 58718761920 in words is "fifty-eight billion, seven hundred eighteen million, seven hundred sixty-one thousand, nine hundred twenty".