10997556823680 has 256 divisors, whose sum is σ = 40071468476160. Its totient is φ = 2513166336000.

The previous prime is 10997556823597. The next prime is 10997556823681. The reversal of 10997556823680 is 8632865579901.

It is not an unprimeable number, because it can be changed into a prime (10997556823681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61694680 + ... + 61872680.

It is an arithmetic number, because the mean of its divisors is an integer number (156529173735).

Almost surely, 2^{10997556823680} is an apocalyptic number.

10997556823680 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 10997556823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20035734238080).

10997556823680 is an abundant number, since it is smaller than the sum of its proper divisors (29073911652480).

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

10997556823680 is a wasteful number, since it uses less digits than its factorization.

10997556823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182627 (or 182615 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 69.

The spelling of 10997556823680 in words is "ten trillion, nine hundred ninety-seven billion, five hundred fifty-six million, eight hundred twenty-three thousand, six hundred eighty".