89958604761 has 27 divisors (see below), whose sum is σ = 138056843613. Its totient is φ = 56435016960.

The previous prime is 89958604759. The next prime is 89958604763. The reversal of 89958604761 is 16740685998.

The square root of 89958604761 is 299931.

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

89958604761 is a `hidden beast` number, since 8 + 9 + 9 + 586 + 0 + 47 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (89958604759) and next prime (89958604763).

It can be written as a sum of positive squares in 4 ways, for example, as 33857840025 + 56100764736 = 184005^2 + 236856^2 .

It is not a de Polignac number, because 89958604761 - 2¹ = 89958604759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89958604763) 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, 15293541 + ... + 15299421.

Almost surely, 2^89958604761 is an apocalyptic number.

89958604761 is the 299931-st square number.

89958604761 is the 149966-th centered octagonal number.

It is an amenable number.

89958604761 is a deficient number, since it is larger than the sum of its proper divisors (48098238852).

89958604761 is an frugal number, since it uses more digits than its factorization.

89958604761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11802 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 89958604761 in words is "eighty-nine billion, nine hundred fifty-eight million, six hundred four thousand, seven hundred sixty-one".