11852680896 has 252 divisors, whose sum is σ = 40595765392. Its totient is φ = 3238659072.

The previous prime is 11852680859. The next prime is 11852680907. The reversal of 11852680896 is 69808625811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2130150 + ... + 2135706.

Almost surely, 2^11852680896 is an apocalyptic number.

11852680896 is a gapful number since it is divisible by the number (16) 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 11852680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20297882696).

11852680896 is an abundant number, since it is smaller than the sum of its proper divisors (28743084496).

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

11852680896 is a wasteful number, since it uses less digits than its factorization.

11852680896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 11852680896 in words is "eleven billion, eight hundred fifty-two million, six hundred eighty thousand, eight hundred ninety-six".