10696795407360 has 880 divisors, whose sum is σ = 39913753450032. Its totient is φ = 2737019289600.

The previous prime is 10696795407323. The next prime is 10696795407367. The reversal of 10696795407360 is 6370459769601.

10696795407360 is a `hidden beast` number, since 10 + 6 + 9 + 6 + 7 + 9 + 540 + 73 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4434629492736 + 6262165914624 = 2105856^2 + 2502432^2 .

It is a super-2 number, since 2×10696795407360² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10696795407367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1037209564 + ... + 1037219876.

Almost surely, 2^{10696795407360} is an apocalyptic number.

10696795407360 is a gapful number since it is divisible by the number (10) 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 10696795407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956876725016).

10696795407360 is an abundant number, since it is smaller than the sum of its proper divisors (29216958042672).

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

10696795407360 is a wasteful number, since it uses less digits than its factorization.

10696795407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10452 (or 10425 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 10696795407360 in words is "ten trillion, six hundred ninety-six billion, seven hundred ninety-five million, four hundred seven thousand, three hundred sixty".