58406641920 has 432 divisors, whose sum is σ = 227833724160. Its totient is φ = 14158172160.

The previous prime is 58406641879. The next prime is 58406641933. The reversal of 58406641920 is 2914660485.

58406641920 is a `hidden beast` number, since 58 + 406 + 6 + 4 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×58406641920² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4174777 + ... + 4188743.

It is an arithmetic number, because the mean of its divisors is an integer number (527392880).

Almost surely, 2^58406641920 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 58406641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113916862080).

58406641920 is an abundant number, since it is smaller than the sum of its proper divisors (169427082240).

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

58406641920 is a wasteful number, since it uses less digits than its factorization.

58406641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14019 (or 13988 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 58406641920 in words is "fifty-eight billion, four hundred six million, six hundred forty-one thousand, nine hundred twenty".