90713872689 has 16 divisors (see below), whose sum is σ = 131953536000. Its totient is φ = 54975569360.

The previous prime is 90713872681. The next prime is 90713872727. The reversal of 90713872689 is 98627831709.

It is a cyclic number.

It is not a de Polignac number, because 90713872689 - 2³ = 90713872681 is a prime.

It is a super-2 number, since 2×90713872689² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90713872681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866812 + ... + 965810.

It is an arithmetic number, because the mean of its divisors is an integer number (8247096000).

Almost surely, 2^90713872689 is an apocalyptic number.

It is an amenable number.

90713872689 is a deficient number, since it is larger than the sum of its proper divisors (41239663311).

90713872689 is a wasteful number, since it uses less digits than its factorization.

90713872689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126780.

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 90713872689 in words is "ninety billion, seven hundred thirteen million, eight hundred seventy-two thousand, six hundred eighty-nine".