90085122864 has 320 divisors, whose sum is σ = 298296384000. Its totient is φ = 25742914560.

The previous prime is 90085122859. The next prime is 90085122877. The reversal of 90085122864 is 46822158009.

It is a super-2 number, since 2×90085122864² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20673774 + ... + 20678130.

It is an arithmetic number, because the mean of its divisors is an integer number (932176200).

Almost surely, 2^90085122864 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 90085122864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149148192000).

90085122864 is an abundant number, since it is smaller than the sum of its proper divisors (208211261136).

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

90085122864 is a wasteful number, since it uses less digits than its factorization.

90085122864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 90085122864 in words is "ninety billion, eighty-five million, one hundred twenty-two thousand, eight hundred sixty-four".