11912518800 has 1920 divisors, whose sum is σ = 59516190720. Its totient is φ = 2189721600.

The previous prime is 11912518789. The next prime is 11912518861. The reversal of 11912518800 is 881521911.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 384274785 + ... + 384274815.

It is an arithmetic number, because the mean of its divisors is an integer number (30998016).

Almost surely, 2^11912518800 is an apocalyptic number.

11912518800 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 11912518800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758095360).

11912518800 is an abundant number, since it is smaller than the sum of its proper divisors (47603671920).

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

11912518800 is a wasteful number, since it uses less digits than its factorization.

11912518800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 11912518800 in words is "eleven billion, nine hundred twelve million, five hundred eighteen thousand, eight hundred".