90853468570200 has 2304 divisors, whose sum is σ = 372183328742400. Its totient is φ = 18175662489600.

The previous prime is 90853468570147. The next prime is 90853468570219. The reversal of 90853468570200 is 207586435809.

It is a congruent number.

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, 65788173510 + ... + 65788174890.

It is an arithmetic number, because the mean of its divisors is an integer number (161537903100).

Almost surely, 2^{90853468570200} 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 90853468570200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186091664371200).

90853468570200 is an abundant number, since it is smaller than the sum of its proper divisors (281329860172200).

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

90853468570200 is a wasteful number, since it uses less digits than its factorization.

90853468570200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 90853468570200 in words is "ninety trillion, eight hundred fifty-three billion, four hundred sixty-eight million, five hundred seventy thousand, two hundred".