90085273057440 has 1152 divisors, whose sum is σ = 333864951275520. Its totient is φ = 22678548480000.

The previous prime is 90085273057421. The next prime is 90085273057447. The reversal of 90085273057440 is 4475037258009.

It is a happy number.

90085273057440 is a `hidden beast` number, since 9 + 0 + 0 + 8 + 5 + 27 + 3 + 0 + 574 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90085273057447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32161824040 + ... + 32161826840.

It is an arithmetic number, because the mean of its divisors is an integer number (289813325760).

Almost surely, 2^{90085273057440} is an apocalyptic number.

90085273057440 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 90085273057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166932475637760).

90085273057440 is an abundant number, since it is smaller than the sum of its proper divisors (243779678218080).

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

90085273057440 is a wasteful number, since it uses less digits than its factorization.

90085273057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 90085273057440 in words is "ninety trillion, eighty-five billion, two hundred seventy-three million, fifty-seven thousand, four hundred forty".