798853997500416 has 3456 divisors, whose sum is σ = 3052835158464000. Its totient is φ = 204458685235200.

The previous prime is 798853997500399. The next prime is 798853997500487. The reversal of 798853997500416 is 614005799358897.

798853997500416 is a `hidden beast` number, since 7 + 9 + 8 + 8 + 5 + 3 + 9 + 97 + 500 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1588178921221 + ... + 1588178921723.

It is an arithmetic number, because the mean of its divisors is an integer number (883343506500).

Almost surely, 2^{798853997500416} is an apocalyptic number.

798853997500416 is a gapful number since it is divisible by the number (76) 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 798853997500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526417579232000).

798853997500416 is an abundant number, since it is smaller than the sum of its proper divisors (2253981160963584).

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

798853997500416 is a wasteful number, since it uses less digits than its factorization.

798853997500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 81.

The spelling of 798853997500416 in words is "seven hundred ninety-eight trillion, eight hundred fifty-three billion, nine hundred ninety-seven million, five hundred thousand, four hundred sixteen".