58712631208961 has 8 divisors (see below), whose sum is σ = 59261698661184. Its totient is φ = 58163570262000.

The previous prime is 58712631208951. The next prime is 58712631208991. The reversal of 58712631208961 is 16980213621785.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58712631208961 - 2²⁶ = 58712564100097 is a prime.

It is a super-3 number, since 3×58712631208961³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58712631208961.

It is not an unprimeable number, because it can be changed into a prime (58712631208951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17562596 + ... + 20636618.

It is an arithmetic number, because the mean of its divisors is an integer number (7407712332648).

Almost surely, 2^{58712631208961} is an apocalyptic number.

It is an amenable number.

58712631208961 is a deficient number, since it is larger than the sum of its proper divisors (549067452223).

58712631208961 is a wasteful number, since it uses less digits than its factorization.

58712631208961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252631.

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 58712631208961 in words is "fifty-eight trillion, seven hundred twelve billion, six hundred thirty-one million, two hundred eight thousand, nine hundred sixty-one".