90850590800 has 240 divisors, whose sum is σ = 235017547200. Its totient is φ = 33629184000.

The previous prime is 90850590781. The next prime is 90850590811. The reversal of 90850590800 is 809505809.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122936831 + ... + 122937569.

It is an arithmetic number, because the mean of its divisors is an integer number (979239780).

Almost surely, 2^90850590800 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 90850590800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117508773600).

90850590800 is an abundant number, since it is smaller than the sum of its proper divisors (144166956400).

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

90850590800 is a wasteful number, since it uses less digits than its factorization.

90850590800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 90850590800 in words is "ninety billion, eight hundred fifty million, five hundred ninety thousand, eight hundred".