58407128720 has 20 divisors (see below), whose sum is σ = 135796574460. Its totient is φ = 23362851456.

The previous prime is 58407128719. The next prime is 58407128729. The reversal of 58407128720 is 2782170485.

It can be written as a sum of positive squares in 2 ways, for example, as 44254695424 + 14152433296 = 210368^2 + 118964^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×58407128720² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (58407128729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 365044475 + ... + 365044634.

It is an arithmetic number, because the mean of its divisors is an integer number (6789828723).

Almost surely, 2^58407128720 is an apocalyptic number.

It is an amenable number.

58407128720 is an abundant number, since it is smaller than the sum of its proper divisors (77389445740).

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

58407128720 is a wasteful number, since it uses less digits than its factorization.

58407128720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730089122 (or 730089116 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 44.

The spelling of 58407128720 in words is "fifty-eight billion, four hundred seven million, one hundred twenty-eight thousand, seven hundred twenty".