90916823840 has 96 divisors (see below), whose sum is σ = 219108504384. Its totient is φ = 35641267200.

The previous prime is 90916823819. The next prime is 90916823849. The reversal of 90916823840 is 4832861909.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90916823849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2090315 + ... + 2133365.

It is an arithmetic number, because the mean of its divisors is an integer number (2282380254).

Almost surely, 2^90916823840 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 90916823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109554252192).

90916823840 is an abundant number, since it is smaller than the sum of its proper divisors (128191680544).

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

90916823840 is a wasteful number, since it uses less digits than its factorization.

90916823840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43330 (or 43322 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 90916823840 in words is "ninety billion, nine hundred sixteen million, eight hundred twenty-three thousand, eight hundred forty".