10996677120 has 1280 divisors, whose sum is σ = 47516958720. Its totient is φ = 2123366400.

The previous prime is 10996677119. The next prime is 10996677161. The reversal of 10996677120 is 2177669901.

It is a happy number.

10996677120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10996677120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354731505 + ... + 354731535.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 2^10996677120 is an apocalyptic number.

10996677120 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 10996677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758479360).

10996677120 is an abundant number, since it is smaller than the sum of its proper divisors (36520281600).

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

10996677120 is a wasteful number, since it uses less digits than its factorization.

10996677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 10996677120 in words is "ten billion, nine hundred ninety-six million, six hundred seventy-seven thousand, one hundred twenty".