90083266560 has 1248 divisors, whose sum is σ = 398294910720. Its totient is φ = 18855493632.

The previous prime is 90083266519. The next prime is 90083266601. The reversal of 90083266560 is 6566238009.

It is a happy number.

90083266560 is a `hidden beast` number, since 9 + 0 + 0 + 83 + 2 + 6 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (90083266519) and next prime (90083266601).

It is a super-2 number, since 2×90083266560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2434682862 + ... + 2434682898.

Almost surely, 2^90083266560 is an apocalyptic number.

90083266560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90083266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199147455360).

90083266560 is an abundant number, since it is smaller than the sum of its proper divisors (308211644160).

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

90083266560 is a wasteful number, since it uses less digits than its factorization.

90083266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 90083266560 in words is "ninety billion, eighty-three million, two hundred sixty-six thousand, five hundred sixty".