58992406272 has 504 divisors, whose sum is σ = 188736092160. Its totient is φ = 18341406720.

The previous prime is 58992406271. The next prime is 58992406321. The reversal of 58992406272 is 27260429985.

58992406272 is a `hidden beast` number, since 5 + 8 + 9 + 9 + 2 + 4 + 0 + 627 + 2 = 666.

It is a super-4 number, since 4×58992406272⁴ (a number of 44 digits) contains 4444 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 (58992406271) 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 55 ways as a sum of consecutive naturals, for example, 450323647 + ... + 450323777.

Almost surely, 2^58992406272 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 58992406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94368046080).

58992406272 is an abundant number, since it is smaller than the sum of its proper divisors (129743685888).

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

58992406272 is a wasteful number, since it uses less digits than its factorization.

58992406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 58992406272 in words is "fifty-eight billion, nine hundred ninety-two million, four hundred six thousand, two hundred seventy-two".