90085742405568 has 896 divisors, whose sum is σ = 330559515095040. Its totient is φ = 23716822892544.

The previous prime is 90085742405537. The next prime is 90085742405587. The reversal of 90085742405568 is 86550424758009.

90085742405568 is a `hidden beast` number, since 9 + 0 + 0 + 8 + 5 + 74 + 2 + 4 + 0 + 556 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7553087221 + ... + 7553099147.

It is an arithmetic number, because the mean of its divisors is an integer number (368928030240).

Almost surely, 2^{90085742405568} 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 90085742405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165279757547520).

90085742405568 is an abundant number, since it is smaller than the sum of its proper divisors (240473772689472).

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

90085742405568 is a wasteful number, since it uses less digits than its factorization.

90085742405568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12573 (or 12545 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 90085742405568 in words is "ninety trillion, eighty-five billion, seven hundred forty-two million, four hundred five thousand, five hundred sixty-eight".