90798417216 has 672 divisors, whose sum is σ = 311206896000. Its totient is φ = 25054396416.

The previous prime is 90798417191. The next prime is 90798417271. The reversal of 90798417216 is 61271489709.

90798417216 is a `hidden beast` number, since 9 + 0 + 7 + 9 + 8 + 417 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243427206 + ... + 243427578.

It is an arithmetic number, because the mean of its divisors is an integer number (463105500).

Almost surely, 2^90798417216 is an apocalyptic number.

90798417216 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 90798417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155603448000).

90798417216 is an abundant number, since it is smaller than the sum of its proper divisors (220408478784).

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

90798417216 is a wasteful number, since it uses less digits than its factorization.

90798417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 90798417216 in words is "ninety billion, seven hundred ninety-eight million, four hundred seventeen thousand, two hundred sixteen".