58162042224 has 480 divisors, whose sum is σ = 199808044800. Its totient is φ = 16242819840.

The previous prime is 58162042207. The next prime is 58162042333. The reversal of 58162042224 is 42224026185.

58162042224 is a `hidden beast` number, since 5 + 8 + 1 + 620 + 4 + 2 + 2 + 24 = 666.

58162042224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93960987 + ... + 93961605.

It is an arithmetic number, because the mean of its divisors is an integer number (416266760).

Almost surely, 2^58162042224 is an apocalyptic number.

58162042224 is a gapful number since it is divisible by the number (54) 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 58162042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99904022400).

58162042224 is an abundant number, since it is smaller than the sum of its proper divisors (141646002576).

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

58162042224 is a wasteful number, since it uses less digits than its factorization.

58162042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 58162042224 in words is "fifty-eight billion, one hundred sixty-two million, forty-two thousand, two hundred twenty-four".