90082171404000 has 1152 divisors, whose sum is σ = 355974625843200. Its totient is φ = 21469672857600.

The previous prime is 90082171403999. The next prime is 90082171404047. The reversal of 90082171404000 is 40417128009.

90082171404000 is a `hidden beast` number, since 9 + 0 + 0 + 82 + 171 + 4 + 0 + 400 + 0 = 666.

It is a super-2 number, since 2×90082171404000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1148396781 + ... + 1148475219.

It is an arithmetic number, because the mean of its divisors is an integer number (309005751600).

Almost surely, 2^{90082171404000} is an apocalyptic number.

90082171404000 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 90082171404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177987312921600).

90082171404000 is an abundant number, since it is smaller than the sum of its proper divisors (265892454439200).

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

90082171404000 is a wasteful number, since it uses less digits than its factorization.

90082171404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78585 (or 78564 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 90082171404000 in words is "ninety trillion, eighty-two billion, one hundred seventy-one million, four hundred four thousand".