500058016871040 has 768 divisors, whose sum is σ = 1804841831520000. Its totient is φ = 132299080040448.

The previous prime is 500058016871011. The next prime is 500058016871057. The reversal of 500058016871040 is 40178610850005.

500058016871040 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 580 + 1 + 68 + 7 + 1 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20553977596 + ... + 20554001924.

It is an arithmetic number, because the mean of its divisors is an integer number (2350054468125).

Almost surely, 2^{500058016871040} 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 500058016871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902420915760000).

500058016871040 is an abundant number, since it is smaller than the sum of its proper divisors (1304783814648960).

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

500058016871040 is a wasteful number, since it uses less digits than its factorization.

500058016871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25399 (or 25375 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 500058016871040 in words is "five hundred trillion, fifty-eight billion, sixteen million, eight hundred seventy-one thousand, forty".