11397347755200 has 756 divisors, whose sum is σ = 45663615727704. Its totient is φ = 2673828864000.

The previous prime is 11397347755177. The next prime is 11397347755291. The reversal of 11397347755200 is 255774379311.

11397347755200 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 7 + 3 + 47 + 75 + 520 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 152184964 + ... + 152259836.

Almost surely, 2^{11397347755200} is an apocalyptic number.

11397347755200 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 11397347755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22831807863852).

11397347755200 is an abundant number, since it is smaller than the sum of its proper divisors (34266267972504).

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

11397347755200 is a wasteful number, since it uses less digits than its factorization.

11397347755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74974 (or 74925 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 11397347755200 in words is "eleven trillion, three hundred ninety-seven billion, three hundred forty-seven million, seven hundred fifty-five thousand, two hundred".