89400565944 has 512 divisors, whose sum is σ = 284719104000. Its totient is φ = 25866086400.

The previous prime is 89400565939. The next prime is 89400565979. The reversal of 89400565944 is 44956500498.

89400565944 is a `hidden beast` number, since 8 + 9 + 40 + 0 + 5 + 6 + 594 + 4 = 666.

It is a super-2 number, since 2×89400565944² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165250314 + ... + 165250854.

It is an arithmetic number, because the mean of its divisors is an integer number (556092000).

Almost surely, 2^89400565944 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 89400565944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142359552000).

89400565944 is an abundant number, since it is smaller than the sum of its proper divisors (195318538056).

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

89400565944 is a wasteful number, since it uses less digits than its factorization.

89400565944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 89400565944 in words is "eighty-nine billion, four hundred million, five hundred sixty-five thousand, nine hundred forty-four".