89380025718201 has 81 divisors (see below), whose sum is σ = 135781690908357. Its totient is φ = 56654267488560.

The previous prime is 89380025718173. The next prime is 89380025718251. The reversal of 89380025718201 is 10281752008398.

The square root of 89380025718201 is 9454101.

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

89380025718201 is a `hidden beast` number, since 8 + 9 + 380 + 0 + 2 + 57 + 1 + 8 + 201 = 666.

It is not a de Polignac number, because 89380025718201 - 2¹¹ = 89380025716153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89380025718251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51874651326 + ... + 51874653048.

Almost surely, 2^{89380025718201} is an apocalyptic number.

89380025718201 is the 9454101-st square number.

89380025718201 is the 4727051-st centered octagonal number.

It is an amenable number.

89380025718201 is a deficient number, since it is larger than the sum of its proper divisors (46401665190156).

89380025718201 is an frugal number, since it uses more digits than its factorization.

89380025718201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 89380025718201 in words is "eighty-nine trillion, three hundred eighty billion, twenty-five million, seven hundred eighteen thousand, two hundred one".