90350008320 has 768 divisors, whose sum is σ = 344354250240. Its totient is φ = 19936051200.

The previous prime is 90350008303. The next prime is 90350008339. The reversal of 90350008320 is 2380005309.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 575477682 + ... + 575477838.

It is an arithmetic number, because the mean of its divisors is an integer number (448377930).

Almost surely, 2^90350008320 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 90350008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172177125120).

90350008320 is an abundant number, since it is smaller than the sum of its proper divisors (254004241920).

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

90350008320 is a wasteful number, since it uses less digits than its factorization.

90350008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 90350008320 in words is "ninety billion, three hundred fifty million, eight thousand, three hundred twenty".