58140001920 has 1024 divisors, whose sum is σ = 251693568000. Its totient is φ = 11089428480.

The previous prime is 58140001903. The next prime is 58140001939. The reversal of 58140001920 is 2910004185.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 324804391 + ... + 324804569.

It is an arithmetic number, because the mean of its divisors is an integer number (245794500).

Almost surely, 2^58140001920 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 58140001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125846784000).

58140001920 is an abundant number, since it is smaller than the sum of its proper divisors (193553566080).

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

58140001920 is a wasteful number, since it uses less digits than its factorization.

58140001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 58140001920 in words is "fifty-eight billion, one hundred forty million, one thousand, nine hundred twenty".