89579891401 has 135 divisors (see below), whose sum is σ = 129713737713. Its totient is φ = 61631650080.

The previous prime is 89579891399. The next prime is 89579891411. The reversal of 89579891401 is 10419897598.

The square root of 89579891401 is 299299.

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

It can be written as a sum of positive squares in 2 ways, for example, as 44415141001 + 45164750400 = 210749^2 + 212520^2 .

It is not a de Polignac number, because 89579891401 - 2¹ = 89579891399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 89579891401.

It is not an unprimeable number, because it can be changed into a prime (89579891411) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3894777876 + ... + 3894777898.

Almost surely, 2^89579891401 is an apocalyptic number.

89579891401 is the 299299-th square number.

89579891401 is the 149650-th centered octagonal number.

It is an amenable number.

89579891401 is a deficient number, since it is larger than the sum of its proper divisors (40133846312).

89579891401 is an equidigital number, since it uses as much as digits as its factorization.

89579891401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 61.

The spelling of 89579891401 in words is "eighty-nine billion, five hundred seventy-nine million, eight hundred ninety-one thousand, four hundred one".