11399971100688 has 360 divisors, whose sum is σ = 33378722296920. Its totient is φ = 3631653273600.

The previous prime is 11399971100633. The next prime is 11399971100737. The reversal of 11399971100688 is 88600117999311.

It is a happy number.

11399971100688 is a `hidden beast` number, since 11 + 399 + 9 + 71 + 100 + 68 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5083636014864 + 6316335085824 = 2254692^2 + 2513232^2 .

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, 5324600098 + ... + 5324602238.

It is an arithmetic number, because the mean of its divisors is an integer number (92718673047).

Almost surely, 2^{11399971100688} is an apocalyptic number.

11399971100688 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 11399971100688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16689361148460).

11399971100688 is an abundant number, since it is smaller than the sum of its proper divisors (21978751196232).

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

11399971100688 is a wasteful number, since it uses less digits than its factorization.

11399971100688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 63.

The spelling of 11399971100688 in words is "eleven trillion, three hundred ninety-nine billion, nine hundred seventy-one million, one hundred thousand, six hundred eighty-eight".