11751109920 has 576 divisors, whose sum is σ = 46787569920. Its totient is φ = 2663424000.

The previous prime is 11751109889. The next prime is 11751109939. The reversal of 11751109920 is 2990115711.

11751109920 is a `hidden beast` number, since 117 + 511 + 0 + 9 + 9 + 20 = 666.

11751109920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 77821845 + ... + 77821995.

It is an arithmetic number, because the mean of its divisors is an integer number (81228420).

Almost surely, 2^11751109920 is an apocalyptic number.

11751109920 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 11751109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23393784960).

11751109920 is an abundant number, since it is smaller than the sum of its proper divisors (35036460000).

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

11751109920 is a wasteful number, since it uses less digits than its factorization.

11751109920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

It can be divided in two parts, 1175110 and 9920, that added together give a triangular number (1185030 = T₁₅₃₉).

The spelling of 11751109920 in words is "eleven billion, seven hundred fifty-one million, one hundred nine thousand, nine hundred twenty".