90282411555840 has 2112 divisors, whose sum is σ = 411338038026240. Its totient is φ = 17805701283840.

The previous prime is 90282411555839. The next prime is 90282411555881. The reversal of 90282411555840 is 4855511428209.

It is a happy number.

90282411555840 is a `hidden beast` number, since 9 + 0 + 2 + 8 + 2 + 4 + 1 + 1 + 55 + 584 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3229779304 + ... + 3229807256.

Almost surely, 2^{90282411555840} is an apocalyptic number.

90282411555840 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 90282411555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205669019013120).

90282411555840 is an abundant number, since it is smaller than the sum of its proper divisors (321055626470400).

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

90282411555840 is a wasteful number, since it uses less digits than its factorization.

90282411555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28058 (or 28037 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 90282411555840 in words is "ninety trillion, two hundred eighty-two billion, four hundred eleven million, five hundred fifty-five thousand, eight hundred forty".