11655764122801 has 8 divisors (see below), whose sum is σ = 11708389997640. Its totient is φ = 11603194626048.

The previous prime is 11655764122789. The next prime is 11655764122819. The reversal of 11655764122801 is 10822146755611.

It is a happy number.

11655764122801 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 10839634369600 + 816129753201 = 3292360^2 + 903399^2 .

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 11655764122801 - 2¹³ = 11655764114609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11655764122831) 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, 13680076 + ... + 14507101.

It is an arithmetic number, because the mean of its divisors is an integer number (1463548749705).

Almost surely, 2^{11655764122801} is an apocalyptic number.

It is an amenable number.

11655764122801 is a deficient number, since it is larger than the sum of its proper divisors (52625874839).

11655764122801 is a wasteful number, since it uses less digits than its factorization.

11655764122801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28189043.

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 11655764122801 in words is "eleven trillion, six hundred fifty-five billion, seven hundred sixty-four million, one hundred twenty-two thousand, eight hundred one".