90198899965440 has 800 divisors, whose sum is σ = 381947716370880. Its totient is φ = 19905954840576.

The previous prime is 90198899965417. The next prime is 90198899965483. The reversal of 90198899965440 is 4456999889109.

90198899965440 is a `hidden beast` number, since 9 + 0 + 1 + 9 + 8 + 89 + 9 + 96 + 5 + 440 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 90198899965440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41022684 + ... + 43165476.

Almost surely, 2^{90198899965440} is an apocalyptic number.

90198899965440 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 90198899965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190973858185440).

90198899965440 is an abundant number, since it is smaller than the sum of its proper divisors (291748816405440).

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

90198899965440 is a wasteful number, since it uses less digits than its factorization.

90198899965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142864 (or 2142839 counting only the distinct ones).

The product of its (nonzero) digits is 1813985280, while the sum is 81.

The spelling of 90198899965440 in words is "ninety trillion, one hundred ninety-eight billion, eight hundred ninety-nine million, nine hundred sixty-five thousand, four hundred forty".