90271351368 has 160 divisors (see below), whose sum is σ = 276022296000. Its totient is φ = 27335802240.

The previous prime is 90271351271. The next prime is 90271351399. The reversal of 90271351368 is 86315317209.

90271351368 is a `hidden beast` number, since 9 + 0 + 2 + 71 + 3 + 513 + 68 = 666.

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 39 ways as a sum of consecutive naturals, for example, 12748453 + ... + 12755531.

It is an arithmetic number, because the mean of its divisors is an integer number (1725139350).

Almost surely, 2^90271351368 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 90271351368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138011148000).

90271351368 is an abundant number, since it is smaller than the sum of its proper divisors (185750944632).

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

90271351368 is a wasteful number, since it uses less digits than its factorization.

90271351368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 90271351368 in words is "ninety billion, two hundred seventy-one million, three hundred fifty-one thousand, three hundred sixty-eight".