11940857914200 has 192 divisors, whose sum is σ = 38654396674560. Its totient is φ = 3043551160320.

The previous prime is 11940857914187. The next prime is 11940857914207. The reversal of 11940857914200 is 241975804911.

It is a super-2 number, since 2×11940857914200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11940857914207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18548112 + ... + 19181088.

It is an arithmetic number, because the mean of its divisors is an integer number (201324982680).

Almost surely, 2^{11940857914200} is an apocalyptic number.

11940857914200 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 11940857914200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327198337280).

11940857914200 is an abundant number, since it is smaller than the sum of its proper divisors (26713538760360).

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

11940857914200 is a wasteful number, since it uses less digits than its factorization.

11940857914200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634386 (or 634377 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 11940857914200 in words is "eleven trillion, nine hundred forty billion, eight hundred fifty-seven million, nine hundred fourteen thousand, two hundred".