11952707788801 has 8 divisors (see below), whose sum is σ = 12872389783400. Its totient is φ = 11033060499072.

The previous prime is 11952707788787. The next prime is 11952707788807. The reversal of 11952707788801 is 10888770725911.

11952707788801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 345331347201 + 11607376441600 = 587649^2 + 3406960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11952707788801 - 2⁹ = 11952707788289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11952707788807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7958700 + ... + 9340573.

It is an arithmetic number, because the mean of its divisors is an integer number (1609048722925).

Almost surely, 2^{11952707788801} is an apocalyptic number.

It is an amenable number.

11952707788801 is a deficient number, since it is larger than the sum of its proper divisors (919681994599).

11952707788801 is a wasteful number, since it uses less digits than its factorization.

11952707788801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17352435.

The product of its (nonzero) digits is 15805440, while the sum is 64.

The spelling of 11952707788801 in words is "eleven trillion, nine hundred fifty-two billion, seven hundred seven million, seven hundred eighty-eight thousand, eight hundred one".