58984160040 has 512 divisors, whose sum is σ = 222779289600. Its totient is φ = 13780316160.

The previous prime is 58984160033. The next prime is 58984160057. The reversal of 58984160040 is 4006148985.

58984160040 is a `hidden beast` number, since 589 + 8 + 4 + 1 + 60 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×58984160040² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 23066442 + ... + 23068998.

It is an arithmetic number, because the mean of its divisors is an integer number (435115800).

Almost surely, 2^58984160040 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 58984160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111389644800).

58984160040 is an abundant number, since it is smaller than the sum of its proper divisors (163795129560).

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

58984160040 is a wasteful number, since it uses less digits than its factorization.

58984160040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 58984 and 160040, that added together give a square (219024 = 468²).

The spelling of 58984160040 in words is "fifty-eight billion, nine hundred eighty-four million, one hundred sixty thousand, forty".