826212617216 has 264 divisors, whose sum is σ = 1972332481680. Its totient is φ = 344735612928.

The previous prime is 826212617207. The next prime is 826212617233. The reversal of 826212617216 is 612716212628.

It is a super-3 number, since 3×826212617216³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227655856 + ... + 1227656528.

It is an arithmetic number, because the mean of its divisors is an integer number (7470956370).

Almost surely, 2^826212617216 is an apocalyptic number.

826212617216 is a gapful number since it is divisible by the number (86) 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 826212617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986166240840).

826212617216 is an abundant number, since it is smaller than the sum of its proper divisors (1146119864464).

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

826212617216 is a wasteful number, since it uses less digits than its factorization.

826212617216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1294 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The spelling of 826212617216 in words is "eight hundred twenty-six billion, two hundred twelve million, six hundred seventeen thousand, two hundred sixteen".