58618909440 has 1728 divisors, whose sum is σ = 274988313600. Its totient is φ = 11609505792.

The previous prime is 58618909379. The next prime is 58618909441. The reversal of 58618909440 is 4490981685.

58618909440 is a `hidden beast` number, since 58 + 61 + 8 + 90 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×58618909440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58618909441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 537788106 + ... + 537788214.

Almost surely, 2^58618909440 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 58618909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137494156800).

58618909440 is an abundant number, since it is smaller than the sum of its proper divisors (216369404160).

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

58618909440 is a wasteful number, since it uses less digits than its factorization.

58618909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 58618909440 in words is "fifty-eight billion, six hundred eighteen million, nine hundred nine thousand, four hundred forty".