90594201600 has 1248 divisors, whose sum is σ = 395222958080. Its totient is φ = 19906560000.

The previous prime is 90594201589. The next prime is 90594201619. The reversal of 90594201600 is 610249509.

90594201600 is a `hidden beast` number, since 9 + 0 + 5 + 9 + 42 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599961525 + ... + 599961675.

Almost surely, 2^90594201600 is an apocalyptic number.

90594201600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90594201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197611479040).

90594201600 is an abundant number, since it is smaller than the sum of its proper divisors (304628756480).

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

90594201600 is a wasteful number, since it uses less digits than its factorization.

90594201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 90594201600 in words is "ninety billion, five hundred ninety-four million, two hundred one thousand, six hundred".