90218396160000 has 3120 divisors, whose sum is σ = 377228379528000. Its totient is φ = 21403533312000.

The previous prime is 90218396159953. The next prime is 90218396160007. The reversal of 90218396160000 is 6169381209.

It is a happy number.

90218396160000 is a `hidden beast` number, since 9 + 0 + 2 + 1 + 8 + 39 + 6 + 1 + 600 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90218396160007) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 200931839776 + ... + 200931840224.

It is an arithmetic number, because the mean of its divisors is an integer number (120906531900).

Almost surely, 2^{90218396160000} is an apocalyptic number.

90218396160000 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 90218396160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188614189764000).

90218396160000 is an abundant number, since it is smaller than the sum of its proper divisors (287009983368000).

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

90218396160000 is an equidigital number, since it uses as much as digits as its factorization.

90218396160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 90218396160000 in words is "ninety trillion, two hundred eighteen billion, three hundred ninety-six million, one hundred sixty thousand".