58931126401 has 48 divisors (see below), whose sum is σ = 72313136640. Its totient is φ = 47792384640.

The previous prime is 58931126383. The next prime is 58931126431. The reversal of 58931126401 is 10462113985.

It is not a de Polignac number, because 58931126401 - 2¹⁹ = 58930602113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58931126431) 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, 47949855 + ... + 47951083.

It is an arithmetic number, because the mean of its divisors is an integer number (1506523680).

Almost surely, 2^58931126401 is an apocalyptic number.

It is an amenable number.

58931126401 is a deficient number, since it is larger than the sum of its proper divisors (13382010239).

58931126401 is a wasteful number, since it uses less digits than its factorization.

58931126401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 58931126401 in words is "fifty-eight billion, nine hundred thirty-one million, one hundred twenty-six thousand, four hundred one".