89296520322672 has 480 divisors, whose sum is σ = 285091935448320. Its totient is φ = 25865081118720.

The previous prime is 89296520322601. The next prime is 89296520322701. The reversal of 89296520322672 is 27622302569298.

89296520322672 is a `hidden beast` number, since 8 + 9 + 2 + 9 + 6 + 520 + 32 + 2 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4003060543 + ... + 4003082849.

It is an arithmetic number, because the mean of its divisors is an integer number (593941532184).

Almost surely, 2^{89296520322672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89296520322672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142545967724160).

89296520322672 is an abundant number, since it is smaller than the sum of its proper divisors (195795415125648).

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

89296520322672 is a wasteful number, since it uses less digits than its factorization.

89296520322672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23061 (or 23052 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 89296520322672 in words is "eighty-nine trillion, two hundred ninety-six billion, five hundred twenty million, three hundred twenty-two thousand, six hundred seventy-two".