58431665040 has 120 divisors (see below), whose sum is σ = 210711781440. Its totient is φ = 13355806464.

The previous prime is 58431665021. The next prime is 58431665059. The reversal of 58431665040 is 4056613485.

58431665040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58431665021) and next prime (58431665059).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 58431664983 and 58431665001.

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, 2472580 + ... + 2496099.

It is an arithmetic number, because the mean of its divisors is an integer number (1755931512).

Almost surely, 2^58431665040 is an apocalyptic number.

It is an amenable number.

58431665040 is an abundant number, since it is smaller than the sum of its proper divisors (152280116400).

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

58431665040 is a wasteful number, since it uses less digits than its factorization.

58431665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968709 (or 4968696 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 58431665040 in words is "fifty-eight billion, four hundred thirty-one million, six hundred sixty-five thousand, forty".