89612528544 has 288 divisors, whose sum is σ = 323106900480. Its totient is φ = 22881139200.

The previous prime is 89612528531. The next prime is 89612528563. The reversal of 89612528544 is 44582521698.

89612528544 is a `hidden beast` number, since 8 + 9 + 61 + 2 + 528 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274139 + ... + 1342629.

It is an arithmetic number, because the mean of its divisors is an integer number (1121898960).

Almost surely, 2^89612528544 is an apocalyptic number.

89612528544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89612528544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161553450240).

89612528544 is an abundant number, since it is smaller than the sum of its proper divisors (233494371936).

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

89612528544 is a wasteful number, since it uses less digits than its factorization.

89612528544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68584 (or 68573 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 89612528544 in words is "eighty-nine billion, six hundred twelve million, five hundred twenty-eight thousand, five hundred forty-four".