11747449375200 has 2160 divisors, whose sum is σ = 54698330332800. Its totient is φ = 2426099558400.

The previous prime is 11747449375159. The next prime is 11747449375223. The reversal of 11747449375200 is 257394474711.

11747449375200 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 74 + 49 + 3 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6251967861 + ... + 6251969739.

It is an arithmetic number, because the mean of its divisors is an integer number (25323301080).

Almost surely, 2^{11747449375200} is an apocalyptic number.

11747449375200 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 11747449375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349165166400).

11747449375200 is an abundant number, since it is smaller than the sum of its proper divisors (42950880957600).

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

11747449375200 is a wasteful number, since it uses less digits than its factorization.

11747449375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 11747449375200 in words is "eleven trillion, seven hundred forty-seven billion, four hundred forty-nine million, three hundred seventy-five thousand, two hundred".