59981468065 has 16 divisors (see below), whose sum is σ = 74532865680. Its totient is φ = 46285021440.

The previous prime is 59981468059. The next prime is 59981468081. The reversal of 59981468065 is 56086418995.

It can be written as a sum of positive squares in 8 ways, for example, as 2718892449 + 57262575616 = 52143^2 + 239296^2 .

It is a de Polignac number, because none of the positive numbers 2^k-59981468065 is a prime.

It is a super-2 number, since 2×59981468065² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59981467994 and 59981468012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54534 + ... + 350623.

It is an arithmetic number, because the mean of its divisors is an integer number (4658304105).

Almost surely, 2^59981468065 is an apocalyptic number.

It is an amenable number.

59981468065 is a deficient number, since it is larger than the sum of its proper divisors (14551397615).

59981468065 is a wasteful number, since it uses less digits than its factorization.

59981468065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406212.

The product of its (nonzero) digits is 18662400, while the sum is 61.

The spelling of 59981468065 in words is "fifty-nine billion, nine hundred eighty-one million, four hundred sixty-eight thousand, sixty-five".