58742535475512 has 1280 divisors, whose sum is σ = 208869879398400. Its totient is φ = 15038542632960.

The previous prime is 58742535475483. The next prime is 58742535475517. The reversal of 58742535475512 is 21557453524785.

58742535475512 is a `hidden beast` number, since 5 + 8 + 7 + 4 + 2 + 5 + 35 + 47 + 551 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 58742535475512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58742535475517) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 90792171973 + ... + 90792172619.

It is an arithmetic number, because the mean of its divisors is an integer number (163179593280).

Almost surely, 2^{58742535475512} 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 58742535475512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104434939699200).

58742535475512 is an abundant number, since it is smaller than the sum of its proper divisors (150127343922888).

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

58742535475512 is a wasteful number, since it uses less digits than its factorization.

58742535475512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1145 counting only the distinct ones).

The product of its digits is 235200000, while the sum is 63.

The spelling of 58742535475512 in words is "fifty-eight trillion, seven hundred forty-two billion, five hundred thirty-five million, four hundred seventy-five thousand, five hundred twelve".