90880000000 has 240 divisors, whose sum is σ = 230392378944. Its totient is φ = 35840000000.

The previous prime is 90879999943. The next prime is 90880000019. The reversal of 90880000000 is 8809.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 90880000000.

It is an unprimeable number.

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, 1279999965 + ... + 1280000035.

Almost surely, 2^90880000000 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 90880000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115196189472).

90880000000 is an abundant number, since it is smaller than the sum of its proper divisors (139512378944).

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

90880000000 is an frugal number, since it uses more digits than its factorization.

90880000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 90880000000 its reverse (8809), we get a palindrome (90880008809).

The spelling of 90880000000 in words is "ninety billion, eight hundred eighty million", and thus it is an aban number.