90982592064 has 448 divisors, whose sum is σ = 333210286080. Its totient is φ = 23702906880.

The previous prime is 90982592059. The next prime is 90982592081. The reversal of 90982592064 is 46029528909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 90982592064.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13048099 + ... + 13055069.

It is an arithmetic number, because the mean of its divisors is an integer number (743772960).

Almost surely, 2^90982592064 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 90982592064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166605143040).

90982592064 is an abundant number, since it is smaller than the sum of its proper divisors (242227694016).

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

90982592064 is a wasteful number, since it uses less digits than its factorization.

90982592064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7095 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 90982592064 in words is "ninety billion, nine hundred eighty-two million, five hundred ninety-two thousand, sixty-four".