11745871200 has 432 divisors, whose sum is σ = 50123979360. Its totient is φ = 2526658560.

The previous prime is 11745871199. The next prime is 11745871211. The reversal of 11745871200 is 217854711.

11745871200 is a `hidden beast` number, since 1 + 1 + 74 + 587 + 1 + 2 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 849946 + ... + 863654.

It is an arithmetic number, because the mean of its divisors is an integer number (116027730).

Almost surely, 2^11745871200 is an apocalyptic number.

11745871200 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 11745871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061989680).

11745871200 is an abundant number, since it is smaller than the sum of its proper divisors (38378108160).

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

11745871200 is a wasteful number, since it uses less digits than its factorization.

11745871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13759 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 11745871200 in words is "eleven billion, seven hundred forty-five million, eight hundred seventy-one thousand, two hundred".