11807889013200 has 960 divisors, whose sum is σ = 46616587776000. Its totient is φ = 2546730547200.

The previous prime is 11807889013199. The next prime is 11807889013331. The reversal of 11807889013200 is 231098870811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11807889013200.

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, 2056762330 + ... + 2056768070.

It is an arithmetic number, because the mean of its divisors is an integer number (48558945600).

Almost surely, 2^{11807889013200} is an apocalyptic number.

11807889013200 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 11807889013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23308293888000).

11807889013200 is an abundant number, since it is smaller than the sum of its proper divisors (34808698762800).

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

11807889013200 is a wasteful number, since it uses less digits than its factorization.

11807889013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6065 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The spelling of 11807889013200 in words is "eleven trillion, eight hundred seven billion, eight hundred eighty-nine million, thirteen thousand, two hundred".