58788820080 has 120 divisors (see below), whose sum is σ = 197622849840. Its totient is φ = 15661900800.

The previous prime is 58788820063. The next prime is 58788820141. The reversal of 58788820080 is 8002888785.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×58788820080² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58788819999 and 58788820026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717876 + ... + 795564.

It is an arithmetic number, because the mean of its divisors is an integer number (1646857082).

Almost surely, 2^58788820080 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 58788820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98811424920).

58788820080 is an abundant number, since it is smaller than the sum of its proper divisors (138834029760).

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

58788820080 is a wasteful number, since it uses less digits than its factorization.

58788820080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78759 (or 78750 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 58788820080 in words is "fifty-eight billion, seven hundred eighty-eight million, eight hundred twenty thousand, eighty".