90561950899200 has 3168 divisors, whose sum is σ = 376849050117120. Its totient is φ = 21288960000000.

The previous prime is 90561950899183. The next prime is 90561950899243. The reversal of 90561950899200 is 299805916509.

90561950899200 is a `hidden beast` number, since 9 + 0 + 5 + 6 + 19 + 508 + 99 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×90561950899200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 599748019125 + ... + 599748019275.

Almost surely, 2^{90561950899200} is an apocalyptic number.

90561950899200 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 90561950899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188424525058560).

90561950899200 is an abundant number, since it is smaller than the sum of its proper divisors (286287099217920).

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

90561950899200 is a wasteful number, since it uses less digits than its factorization.

90561950899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 63.

The spelling of 90561950899200 in words is "ninety trillion, five hundred sixty-one billion, nine hundred fifty million, eight hundred ninety-nine thousand, two hundred".