58615117752048 has 320 divisors, whose sum is σ = 179568548544000. Its totient is φ = 16241647841280.

The previous prime is 58615117752019. The next prime is 58615117752097. The reversal of 58615117752048 is 84025771151685.

It is a junction number, because it is equal to n+sod(n) for n = 58615117751982 and 58615117752000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5257427178 + ... + 5257438326.

It is an arithmetic number, because the mean of its divisors is an integer number (561151714200).

Almost surely, 2^{58615117752048} 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 58615117752048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89784274272000).

58615117752048 is an abundant number, since it is smaller than the sum of its proper divisors (120953430791952).

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

58615117752048 is a wasteful number, since it uses less digits than its factorization.

58615117752048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18320 (or 18314 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 60.

The spelling of 58615117752048 in words is "fifty-eight trillion, six hundred fifteen billion, one hundred seventeen million, seven hundred fifty-two thousand, forty-eight".