58736880672001 has 27 divisors (see below), whose sum is σ = 68943702076041. Its totient is φ = 49895208593664.

The previous prime is 58736880671999. The next prime is 58736880672023. The reversal of 58736880672001 is 10027608863785.

The square root of 58736880672001 is 7663999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18394362988225 + 40342517683776 = 4288865^2 + 6351576^2 .

It is not a de Polignac number, because 58736880672001 - 2¹ = 58736880671999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58736880072001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6062218365 + ... + 6062228053.

Almost surely, 2^{58736880672001} is an apocalyptic number.

58736880672001 is the 7663999-th square number.

58736880672001 is the 3832000-th centered octagonal number.

It is an amenable number.

58736880672001 is a deficient number, since it is larger than the sum of its proper divisors (10206821404040).

58736880672001 is an frugal number, since it uses more digits than its factorization.

58736880672001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19618 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 58736880672001 in words is "fifty-eight trillion, seven hundred thirty-six billion, eight hundred eighty million, six hundred seventy-two thousand, one".