58240465920 has 2112 divisors, whose sum is σ = 283260257280. Its totient is φ = 10701766656.

The previous prime is 58240465897. The next prime is 58240465931. The reversal of 58240465920 is 2956404285.

58240465920 is a `hidden beast` number, since 58 + 2 + 4 + 0 + 4 + 6 + 592 + 0 = 666.

58240465920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1354429419 + ... + 1354429461.

It is an arithmetic number, because the mean of its divisors is an integer number (134119440).

Almost surely, 2^58240465920 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 58240465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141630128640).

58240465920 is an abundant number, since it is smaller than the sum of its proper divisors (225019791360).

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

58240465920 is a wasteful number, since it uses less digits than its factorization.

58240465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 58240465920 in words is "fifty-eight billion, two hundred forty million, four hundred sixty-five thousand, nine hundred twenty".