90211678665216 has 320 divisors, whose sum is σ = 257768187494400. Its totient is φ = 27934724653056.

The previous prime is 90211678665151. The next prime is 90211678665239. The reversal of 90211678665216 is 61256687611209.

It is a self number, because there is not a number n which added to its sum of digits gives 90211678665216.

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 31 ways as a sum of consecutive naturals, for example, 10559714641 + ... + 10559723183.

It is an arithmetic number, because the mean of its divisors is an integer number (805525585920).

Almost surely, 2^{90211678665216} is an apocalyptic number.

90211678665216 is a gapful number since it is divisible by the number (96) 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 90211678665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128884093747200).

90211678665216 is an abundant number, since it is smaller than the sum of its proper divisors (167556508829184).

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

90211678665216 is a wasteful number, since it uses less digits than its factorization.

90211678665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13779 (or 13763 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 90211678665216 in words is "ninety trillion, two hundred eleven billion, six hundred seventy-eight million, six hundred sixty-five thousand, two hundred sixteen".