90350198400 has 1152 divisors, whose sum is σ = 397956672000. Its totient is φ = 17766604800.

The previous prime is 90350198383. The next prime is 90350198437. The reversal of 90350198400 is 489105309.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98313141 + ... + 98314059.

It is an arithmetic number, because the mean of its divisors is an integer number (345448500).

Almost surely, 2^90350198400 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 90350198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198978336000).

90350198400 is an abundant number, since it is smaller than the sum of its proper divisors (307606473600).

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

90350198400 is a wasteful number, since it uses less digits than its factorization.

90350198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 90350198400 in words is "ninety billion, three hundred fifty million, one hundred ninety-eight thousand, four hundred".