11397115800 has 576 divisors, whose sum is σ = 48090672000. Its totient is φ = 2466858240.

The previous prime is 11397115789. The next prime is 11397115823. The reversal of 11397115800 is 851179311.

11397115800 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 71 + 1 + 580 + 0 = 666.

11397115800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5026267 + ... + 5028533.

It is an arithmetic number, because the mean of its divisors is an integer number (83490750).

Almost surely, 2^11397115800 is an apocalyptic number.

11397115800 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 11397115800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24045336000).

11397115800 is an abundant number, since it is smaller than the sum of its proper divisors (36693556200).

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

11397115800 is a wasteful number, since it uses less digits than its factorization.

11397115800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 11397115800 in words is "eleven billion, three hundred ninety-seven million, one hundred fifteen thousand, eight hundred".