90266492160 has 864 divisors, whose sum is σ = 351641306016. Its totient is φ = 21233664000.

The previous prime is 90266492153. The next prime is 90266492179. The reversal of 90266492160 is 6129466209.

90266492160 is a `hidden beast` number, since 90 + 2 + 66 + 492 + 16 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 72485869824 + 17780622336 = 269232^2 + 133344^2 .

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, 374549640 + ... + 374549880.

Almost surely, 2^90266492160 is an apocalyptic number.

90266492160 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 90266492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175820653008).

90266492160 is an abundant number, since it is smaller than the sum of its proper divisors (261374813856).

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

90266492160 is a wasteful number, since it uses less digits than its factorization.

90266492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 90266492160 in words is "ninety billion, two hundred sixty-six million, four hundred ninety-two thousand, one hundred sixty".