89985644544 has 384 divisors, whose sum is σ = 261534873600. Its totient is φ = 27439104000.

The previous prime is 89985644531. The next prime is 89985644563. The reversal of 89985644544 is 44544658998.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358508419 + ... + 358508669.

It is an arithmetic number, because the mean of its divisors is an integer number (681080400).

Almost surely, 2^89985644544 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 89985644544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130767436800).

89985644544 is an abundant number, since it is smaller than the sum of its proper divisors (171549229056).

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

89985644544 is a wasteful number, since it uses less digits than its factorization.

89985644544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 66.

The spelling of 89985644544 in words is "eighty-nine billion, nine hundred eighty-five million, six hundred forty-four thousand, five hundred forty-four".