816860712960 has 364 divisors, whose sum is σ = 2939048848692. Its totient is φ = 217825542144.

The previous prime is 816860712851. The next prime is 816860712961. The reversal of 816860712960 is 69217068618.

816860712960 is a `hidden beast` number, since 8 + 1 + 6 + 8 + 607 + 1 + 29 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 285104738304 + 531755974656 = 533952^2 + 729216^2 .

It is a super-2 number, since 2×816860712960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 816860712897 and 816860712906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816860712961) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14902564 + ... + 14957276.

Almost surely, 2^816860712960 is an apocalyptic number.

816860712960 is a gapful number since it is divisible by the number (80) 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 816860712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469524424346).

816860712960 is an abundant number, since it is smaller than the sum of its proper divisors (2122188135732).

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

816860712960 is an frugal number, since it uses more digits than its factorization.

816860712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54760 (or 54723 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 816860712960 in words is "eight hundred sixteen billion, eight hundred sixty million, seven hundred twelve thousand, nine hundred sixty".