11181976896960 has 1792 divisors, whose sum is σ = 46960072704000. Its totient is φ = 2483701678080.

The previous prime is 11181976896953. The next prime is 11181976896971. The reversal of 11181976896960 is 6969867918111.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 2508855052 + ... + 2508859508.

Almost surely, 2^{11181976896960} is an apocalyptic number.

11181976896960 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 11181976896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23480036352000).

11181976896960 is an abundant number, since it is smaller than the sum of its proper divisors (35778095807040).

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

11181976896960 is a wasteful number, since it uses less digits than its factorization.

11181976896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 72.

The spelling of 11181976896960 in words is "eleven trillion, one hundred eighty-one billion, nine hundred seventy-six million, eight hundred ninety-six thousand, nine hundred sixty".