58098076872192 has 960 divisors, whose sum is σ = 205213202568000. Its totient is φ = 16175460188160.

The previous prime is 58098076872179. The next prime is 58098076872193. The reversal of 58098076872192 is 29127867089085.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58098076872192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58098076872193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5349232842 + ... + 5349243702.

It is an arithmetic number, because the mean of its divisors is an integer number (213763752675).

Almost surely, 2^{58098076872192} 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 58098076872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102606601284000).

58098076872192 is an abundant number, since it is smaller than the sum of its proper divisors (147115125695808).

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

58098076872192 is a wasteful number, since it uses less digits than its factorization.

58098076872192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104 (or 11075 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 58098076872192 in words is "fifty-eight trillion, ninety-eight billion, seventy-six million, eight hundred seventy-two thousand, one hundred ninety-two".