11307340800000 has 3360 divisors, whose sum is σ = 52033173413760. Its totient is φ = 2388787200000.

The previous prime is 11307340799947. The next prime is 11307340800047. The reversal of 11307340800000 is 804370311.

11307340800000 is a `hidden beast` number, since 11 + 307 + 340 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 275788799980 + ... + 275788800020.

It is an arithmetic number, because the mean of its divisors is an integer number (15486063516).

Almost surely, 2^{11307340800000} is an apocalyptic number.

11307340800000 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 11307340800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016586706880).

11307340800000 is an abundant number, since it is smaller than the sum of its proper divisors (40725832613760).

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

11307340800000 is an frugal number, since it uses more digits than its factorization.

11307340800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11307340800000 in words is "eleven trillion, three hundred seven billion, three hundred forty million, eight hundred thousand".