90033910320 has 160 divisors (see below), whose sum is σ = 296177472000. Its totient is φ = 22575849472.

The previous prime is 90033910319. The next prime is 90033910327. The reversal of 90033910320 is 2301933009.

It is a super-2 number, since 2×90033910320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90033910327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187456 + ... + 463904.

It is an arithmetic number, because the mean of its divisors is an integer number (1851109200).

Almost surely, 2^90033910320 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 90033910320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148088736000).

90033910320 is an abundant number, since it is smaller than the sum of its proper divisors (206143561680).

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

90033910320 is a wasteful number, since it uses less digits than its factorization.

90033910320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276547 (or 276541 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The spelling of 90033910320 in words is "ninety billion, thirty-three million, nine hundred ten thousand, three hundred twenty".