90854321760 has 192 divisors, whose sum is σ = 318165442560. Its totient is φ = 24214464000.

The previous prime is 90854321731. The next prime is 90854321791. The reversal of 90854321760 is 6712345809.

90854321760 is a `hidden beast` number, since 90 + 8 + 543 + 2 + 17 + 6 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9719649 + ... + 9728991.

It is an arithmetic number, because the mean of its divisors is an integer number (1657111680).

It is a 1-persistent number, because it is pandigital, but 2⋅90854321760 = 181708643520 is not.

Almost surely, 2^90854321760 is an apocalyptic number.

90854321760 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 90854321760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159082721280).

90854321760 is an abundant number, since it is smaller than the sum of its proper divisors (227311120800).

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

90854321760 is a wasteful number, since it uses less digits than its factorization.

90854321760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11618 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 90854321760 in words is "ninety billion, eight hundred fifty-four million, three hundred twenty-one thousand, seven hundred sixty".