90835864560 has 160 divisors (see below), whose sum is σ = 357576161280. Its totient is φ = 20762479872.

The previous prime is 90835864547. The next prime is 90835864571. The reversal of 90835864560 is 6546853809.

It is a happy number.

90835864560 is a `hidden beast` number, since 9 + 0 + 8 + 3 + 586 + 4 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90835864497 and 90835864506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2988712 + ... + 3018951.

It is an arithmetic number, because the mean of its divisors is an integer number (2234851008).

Almost surely, 2^90835864560 is an apocalyptic number.

90835864560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90835864560 is an abundant number, since it is smaller than the sum of its proper divisors (266740296720).

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

90835864560 is a wasteful number, since it uses less digits than its factorization.

90835864560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007692 (or 6007680 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 90835864560 in words is "ninety billion, eight hundred thirty-five million, eight hundred sixty-four thousand, five hundred sixty".