90359428400 has 120 divisors (see below), whose sum is σ = 226765155744. Its totient is φ = 34535987200.

The previous prime is 90359428337. The next prime is 90359428487. The reversal of 90359428400 is 482495309.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9756572 + ... + 9765828.

Almost surely, 2^90359428400 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 90359428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113382577872).

90359428400 is an abundant number, since it is smaller than the sum of its proper divisors (136405727344).

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

90359428400 is a wasteful number, since it uses less digits than its factorization.

90359428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10359 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 90359428400 in words is "ninety billion, three hundred fifty-nine million, four hundred twenty-eight thousand, four hundred".