10996807256064 has 336 divisors, whose sum is σ = 37676934509760. Its totient is φ = 3141941944320.

The previous prime is 10996807256041. The next prime is 10996807256069. The reversal of 10996807256064 is 46065270869901.

10996807256064 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 6 + 8 + 0 + 7 + 2 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10996807255992 and 10996807256010.

It is not an unprimeable number, because it can be changed into a prime (10996807256069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9924829 + ... + 10977059.

It is an arithmetic number, because the mean of its divisors is an integer number (112133733660).

Almost surely, 2^{10996807256064} is an apocalyptic number.

10996807256064 is a gapful number since it is divisible by the number (14) 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 10996807256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838467254880).

10996807256064 is an abundant number, since it is smaller than the sum of its proper divisors (26680127253696).

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

10996807256064 is an frugal number, since it uses more digits than its factorization.

10996807256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052278 (or 1052243 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 10996807256064 in words is "ten trillion, nine hundred ninety-six billion, eight hundred seven million, two hundred fifty-six thousand, sixty-four".