990201073075200 has 6336 divisors, whose sum is σ = 4785199570483200. Its totient is φ = 198933951283200.

The previous prime is 990201073075187. The next prime is 990201073075241. The reversal of 990201073075200 is 2570370102099.

990201073075200 is a `hidden beast` number, since 9 + 90 + 2 + 0 + 1 + 0 + 7 + 30 + 7 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 517616869444 + ... + 517616871356.

It is an arithmetic number, because the mean of its divisors is an integer number (755239831200).

Almost surely, 2^{990201073075200} is an apocalyptic number.

990201073075200 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 990201073075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392599785241600).

990201073075200 is an abundant number, since it is smaller than the sum of its proper divisors (3794998497408000).

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

990201073075200 is a wasteful number, since it uses less digits than its factorization.

990201073075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 990201073075200 in words is "nine hundred ninety trillion, two hundred one billion, seventy-three million, seventy-five thousand, two hundred".