58381379184960 has 2016 divisors, whose sum is σ = 228360339417600. Its totient is φ = 13673140715520.

The previous prime is 58381379184929. The next prime is 58381379185001. The reversal of 58381379184960 is 6948197318385.

58381379184960 is a `hidden beast` number, since 5 + 8 + 38 + 13 + 7 + 91 + 8 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 135455635945 + ... + 135455636375.

Almost surely, 2^{58381379184960} 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 58381379184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114180169708800).

58381379184960 is an abundant number, since it is smaller than the sum of its proper divisors (169978960232640).

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

58381379184960 is a wasteful number, since it uses less digits than its factorization.

58381379184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 58381379184960 in words is "fifty-eight trillion, three hundred eighty-one billion, three hundred seventy-nine million, one hundred eighty-four thousand, nine hundred sixty".