89410568256 has 105 divisors (see below), whose sum is σ = 265104768621. Its totient is φ = 29796346368.

The previous prime is 89410568197. The next prime is 89410568257. The reversal of 89410568256 is 65286501498.

The square root of 89410568256 is 299016.

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

It can be written as a sum of positive squares in only one way, i.e., 1073217600 + 88337350656 = 32760^2 + 297216^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89410568257) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21527076 + ... + 21531228.

Almost surely, 2^89410568256 is an apocalyptic number.

89410568256 is the 299016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89410568256

89410568256 is an abundant number, since it is smaller than the sum of its proper divisors (175694200365).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89410568256 is an frugal number, since it uses more digits than its factorization.

89410568256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

It can be divided in two parts, 894105 and 68256, that added together give a square (962361 = 981²).

The spelling of 89410568256 in words is "eighty-nine billion, four hundred ten million, five hundred sixty-eight thousand, two hundred fifty-six".