90217440000 has 1080 divisors, whose sum is σ = 350638159872. Its totient is φ = 22256640000.

The previous prime is 90217439951. The next prime is 90217440017. The reversal of 90217440000 is 4471209.

It is a happy number.

90217440000 is a `hidden beast` number, since 9 + 0 + 217 + 440 + 0 + 0 + 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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1919519977 + ... + 1919520023.

Almost surely, 2^90217440000 is an apocalyptic number.

90217440000 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 90217440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175319079936).

90217440000 is an abundant number, since it is smaller than the sum of its proper divisors (260420719872).

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

90217440000 is a wasteful number, since it uses less digits than its factorization.

90217440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 90217440000 in words is "ninety billion, two hundred seventeen million, four hundred forty thousand".