89090749440 has 1584 divisors, whose sum is σ = 416751251904. Its totient is φ = 17340825600.

The previous prime is 89090749427. The next prime is 89090749459. The reversal of 89090749440 is 4494709098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 422230935 + ... + 422231145.

Almost surely, 2^89090749440 is an apocalyptic number.

89090749440 is a gapful number since it is divisible by the number (80) 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 89090749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208375625952).

89090749440 is an abundant number, since it is smaller than the sum of its proper divisors (327660502464).

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

89090749440 is a wasteful number, since it uses less digits than its factorization.

89090749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 89090749440 in words is "eighty-nine billion, ninety million, seven hundred forty-nine thousand, four hundred forty".