11851660800 has 1200 divisors, whose sum is σ = 53046461952. Its totient is φ = 2554675200.

The previous prime is 11851660771. The next prime is 11851660819. The reversal of 11851660800 is 806615811.

11851660800 is a `hidden beast` number, since 1 + 1 + 8 + 516 + 60 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 166924765 + ... + 166924835.

Almost surely, 2^11851660800 is an apocalyptic number.

11851660800 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 11851660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26523230976).

11851660800 is an abundant number, since it is smaller than the sum of its proper divisors (41194801152).

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

11851660800 is an equidigital number, since it uses as much as digits as its factorization.

11851660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11851660800 in words is "eleven billion, eight hundred fifty-one million, six hundred sixty thousand, eight hundred".