90008459520 has 288 divisors, whose sum is σ = 331449414912. Its totient is φ = 20390608896.

The previous prime is 90008459501. The next prime is 90008459579. The reversal of 90008459520 is 2595480009.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3022624 + ... + 3052256.

It is an arithmetic number, because the mean of its divisors is an integer number (1150866024).

Almost surely, 2^90008459520 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 90008459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165724707456).

90008459520 is an abundant number, since it is smaller than the sum of its proper divisors (241440955392).

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

90008459520 is a wasteful number, since it uses less digits than its factorization.

90008459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29777 (or 29763 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 90008459520 in words is "ninety billion, eight million, four hundred fifty-nine thousand, five hundred twenty".