58064479200 has 1296 divisors, whose sum is σ = 268958473056. Its totient is φ = 11501568000.

The previous prime is 58064479189. The next prime is 58064479201. The reversal of 58064479200 is 297446085.

It is a happy number.

58064479200 is a `hidden beast` number, since 580 + 6 + 4 + 47 + 9 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58064479201) 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 215 ways as a sum of consecutive naturals, for example, 144799000 + ... + 144799400.

It is an arithmetic number, because the mean of its divisors is an integer number (207529686).

Almost surely, 2^58064479200 is an apocalyptic number.

58064479200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58064479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134479236528).

58064479200 is an abundant number, since it is smaller than the sum of its proper divisors (210893993856).

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

58064479200 is a wasteful number, since it uses less digits than its factorization.

58064479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 58064479200 in words is "fifty-eight billion, sixty-four million, four hundred seventy-nine thousand, two hundred".