11151876096 has 224 divisors, whose sum is σ = 33384622080. Its totient is φ = 3678732288.

The previous prime is 11151876077. The next prime is 11151876107. The reversal of 11151876096 is 69067815111.

11151876096 is a `hidden beast` number, since 11 + 15 + 18 + 7 + 609 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28090170 + ... + 28090566.

Almost surely, 2^11151876096 is an apocalyptic number.

11151876096 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 11151876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692311040).

11151876096 is an abundant number, since it is smaller than the sum of its proper divisors (22232745984).

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

11151876096 is an equidigital number, since it uses as much as digits as its factorization.

11151876096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 11151876096 in words is "eleven billion, one hundred fifty-one million, eight hundred seventy-six thousand, ninety-six".