58407825752 has 64 divisors (see below), whose sum is σ = 117456998400. Its totient is φ = 27131005440.

The previous prime is 58407825739. The next prime is 58407825757. The reversal of 58407825752 is 25752870485.

It is a super-2 number, since 2×58407825752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58407825694 and 58407825703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58407825757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25272677 + ... + 25274987.

It is an arithmetic number, because the mean of its divisors is an integer number (1835265600).

Almost surely, 2^58407825752 is an apocalyptic number.

It is an amenable number.

58407825752 is an abundant number, since it is smaller than the sum of its proper divisors (59049172648).

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

58407825752 is a wasteful number, since it uses less digits than its factorization.

58407825752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 53.

The spelling of 58407825752 in words is "fifty-eight billion, four hundred seven million, eight hundred twenty-five thousand, seven hundred fifty-two".