58095954988416 has 256 divisors, whose sum is σ = 177615256896000. Its totient is φ = 18672359860224.

The previous prime is 58095954988339. The next prime is 58095954988417. The reversal of 58095954988416 is 61488945959085.

58095954988416 is a `hidden beast` number, since 5 + 8 + 0 + 9 + 59 + 549 + 8 + 8 + 4 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58095954988417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74076351 + ... + 74856513.

It is an arithmetic number, because the mean of its divisors is an integer number (693809597250).

Almost surely, 2^{58095954988416} 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 58095954988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88807628448000).

58095954988416 is an abundant number, since it is smaller than the sum of its proper divisors (119519301907584).

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

58095954988416 is a wasteful number, since it uses less digits than its factorization.

58095954988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780958 (or 780940 counting only the distinct ones).

The product of its (nonzero) digits is 4478976000, while the sum is 81.

The spelling of 58095954988416 in words is "fifty-eight trillion, ninety-five billion, nine hundred fifty-four million, nine hundred eighty-eight thousand, four hundred sixteen".