58975321125056 has 252 divisors, whose sum is σ = 147066244434360. Its totient is φ = 23385150996480.

The previous prime is 58975321125053. The next prime is 58975321125109. The reversal of 58975321125056 is 65052112357985.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a junction number, because it is equal to n+sod(n) for n = 58975321124986 and 58975321125004.

It is not an unprimeable number, because it can be changed into a prime (58975321125053) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52920476 + ... + 54023396.

Almost surely, 2^{58975321125056} is an apocalyptic number.

58975321125056 is a gapful number since it is divisible by the number (56) 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 58975321125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73533122217180).

58975321125056 is an abundant number, since it is smaller than the sum of its proper divisors (88090923309304).

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

58975321125056 is a wasteful number, since it uses less digits than its factorization.

58975321125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103040 (or 1103006 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 59.

The spelling of 58975321125056 in words is "fifty-eight trillion, nine hundred seventy-five billion, three hundred twenty-one million, one hundred twenty-five thousand, fifty-six".