11789052739200 has 1152 divisors, whose sum is σ = 47961665256960. Its totient is φ = 2729346048000.

The previous prime is 11789052739187. The next prime is 11789052739207. The reversal of 11789052739200 is 293725098711.

It is a happy number.

11789052739200 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 90 + 527 + 3 + 9 + 20 + 0 = 666.

11789052739200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×11789052739200³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11789052739207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7949461659 + ... + 7949463141.

It is an arithmetic number, because the mean of its divisors is an integer number (41633389980).

Almost surely, 2^{11789052739200} is an apocalyptic number.

11789052739200 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 11789052739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23980832628480).

11789052739200 is an abundant number, since it is smaller than the sum of its proper divisors (36172612517760).

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

11789052739200 is a wasteful number, since it uses less digits than its factorization.

11789052739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 11789052739200 in words is "eleven trillion, seven hundred eighty-nine billion, fifty-two million, seven hundred thirty-nine thousand, two hundred".