90091335077568 has 448 divisors, whose sum is σ = 295166178109440. Its totient is φ = 26711444275200.

The previous prime is 90091335077507. The next prime is 90091335077603. The reversal of 90091335077568 is 86577053319009.

90091335077568 is a `hidden beast` number, since 9 + 0 + 0 + 9 + 13 + 3 + 50 + 7 + 7 + 568 = 666.

90091335077568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3359973730 + ... + 3360000542.

Almost surely, 2^{90091335077568} 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 90091335077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147583089054720).

90091335077568 is an abundant number, since it is smaller than the sum of its proper divisors (205074843031872).

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

90091335077568 is a wasteful number, since it uses less digits than its factorization.

90091335077568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30653 (or 30637 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 90091335077568 in words is "ninety trillion, ninety-one billion, three hundred thirty-five million, seventy-seven thousand, five hundred sixty-eight".