11399723409888 has 672 divisors, whose sum is σ = 38830658791680. Its totient is φ = 3258880542720.

The previous prime is 11399723409887. The next prime is 11399723409889. The reversal of 11399723409888 is 88890432799311.

11399723409888 is a `hidden beast` number, since 1 + 1 + 39 + 97 + 2 + 340 + 98 + 88 = 666.

11399723409888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11399723409887) and next prime (11399723409889).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11399723409887) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 430831603 + ... + 430858061.

It is an arithmetic number, because the mean of its divisors is an integer number (57783718440).

Almost surely, 2^{11399723409888} is an apocalyptic number.

11399723409888 is a gapful number since it is divisible by the number (18) 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 11399723409888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415329395840).

11399723409888 is an abundant number, since it is smaller than the sum of its proper divisors (27430935381792).

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

11399723409888 is a wasteful number, since it uses less digits than its factorization.

11399723409888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26594 (or 26571 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 11399723409888 in words is "eleven trillion, three hundred ninety-nine billion, seven hundred twenty-three million, four hundred nine thousand, eight hundred eighty-eight".