11945732947200 has 1728 divisors, whose sum is σ = 48306280422400. Its totient is φ = 2870725017600.

The previous prime is 11945732947163. The next prime is 11945732947231. The reversal of 11945732947200 is 274923754911.

11945732947200 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 573 + 2 + 9 + 47 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20920722915 + ... + 20920723485.

Almost surely, 2^{11945732947200} is an apocalyptic number.

11945732947200 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 11945732947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24153140211200).

11945732947200 is an abundant number, since it is smaller than the sum of its proper divisors (36360547475200).

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

11945732947200 is a wasteful number, since it uses less digits than its factorization.

11945732947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 11945732947200 in words is "eleven trillion, nine hundred forty-five billion, seven hundred thirty-two million, nine hundred forty-seven thousand, two hundred".