90160873824 has 192 divisors, whose sum is σ = 272776605696. Its totient is φ = 25542603264.

The previous prime is 90160873813. The next prime is 90160873861. The reversal of 90160873824 is 42837806109.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63181399 + ... + 63182825.

It is an arithmetic number, because the mean of its divisors is an integer number (1420711488).

Almost surely, 2^90160873824 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 90160873824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136388302848).

90160873824 is an abundant number, since it is smaller than the sum of its proper divisors (182615731872).

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

90160873824 is a wasteful number, since it uses less digits than its factorization.

90160873824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 90160873824 in words is "ninety billion, one hundred sixty million, eight hundred seventy-three thousand, eight hundred twenty-four".