58008126960 has 240 divisors, whose sum is σ = 230318562240. Its totient is φ = 12801761280.

The previous prime is 58008126941. The next prime is 58008126977. The reversal of 58008126960 is 6962180085.

58008126960 is a `hidden beast` number, since 580 + 0 + 8 + 1 + 2 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 52281 + ... + 344600.

It is an arithmetic number, because the mean of its divisors is an integer number (959660676).

Almost surely, 2^58008126960 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 58008126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115159281120).

58008126960 is an abundant number, since it is smaller than the sum of its proper divisors (172310435280).

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

58008126960 is a wasteful number, since it uses less digits than its factorization.

58008126960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396936 (or 396927 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 58008126960 in words is "fifty-eight billion, eight million, one hundred twenty-six thousand, nine hundred sixty".