11856119116800 has 528 divisors, whose sum is σ = 44804337735680. Its totient is φ = 2708676771840.

The previous prime is 11856119116783. The next prime is 11856119116801. The reversal of 11856119116800 is 861191165811.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11856119116800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11856119116801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1552047381 + ... + 1552055019.

Almost surely, 2^{11856119116800} is an apocalyptic number.

11856119116800 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 11856119116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402168867840).

11856119116800 is an abundant number, since it is smaller than the sum of its proper divisors (32948218618880).

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

11856119116800 is a wasteful number, since it uses less digits than its factorization.

11856119116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10566 (or 10543 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 48.

The spelling of 11856119116800 in words is "eleven trillion, eight hundred fifty-six billion, one hundred nineteen million, one hundred sixteen thousand, eight hundred".