90875223840 has 144 divisors (see below), whose sum is σ = 290240169408. Its totient is φ = 23900755968.

The previous prime is 90875223833. The next prime is 90875223883. The reversal of 90875223840 is 4832257809.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90875223840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2540157 + ... + 2575683.

It is an arithmetic number, because the mean of its divisors is an integer number (2015556732).

Almost surely, 2^90875223840 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 90875223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145120084704).

90875223840 is an abundant number, since it is smaller than the sum of its proper divisors (199364945568).

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

90875223840 is a wasteful number, since it uses less digits than its factorization.

90875223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35691 (or 35610 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 90875223840 in words is "ninety billion, eight hundred seventy-five million, two hundred twenty-three thousand, eight hundred forty".