11707948262400 has 1056 divisors, whose sum is σ = 44889201573888. Its totient is φ = 2667567513600.

The previous prime is 11707948262399. The next prime is 11707948262407. The reversal of 11707948262400 is 426284970711.

It is not an unprimeable number, because it can be changed into a prime (11707948262407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 711850977 + ... + 711867423.

Almost surely, 2^{11707948262400} is an apocalyptic number.

11707948262400 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 11707948262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22444600786944).

11707948262400 is an abundant number, since it is smaller than the sum of its proper divisors (33181253311488).

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

11707948262400 is a wasteful number, since it uses less digits than its factorization.

11707948262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16547 (or 16524 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 11707948262400 in words is "eleven trillion, seven hundred seven billion, nine hundred forty-eight million, two hundred sixty-two thousand, four hundred".