11725755752711 has 64 divisors (see below), whose sum is σ = 16100821094400. Its totient is φ = 8244894528000.

The previous prime is 11725755752629. The next prime is 11725755752741.

11725755752711 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-11725755752711 is a prime.

It is a super-2 number, since 2×11725755752711² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11725755752741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7252925 + ... + 8721033.

It is an arithmetic number, because the mean of its divisors is an integer number (251575329600).

Almost surely, 2^{11725755752711} is an apocalyptic number.

11725755752711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11725755752711 is a deficient number, since it is larger than the sum of its proper divisors (4375065341689).

11725755752711 is a wasteful number, since it uses less digits than its factorization.

11725755752711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468320.

The product of its digits is 6002500, while the sum is 56.

The spelling of 11725755752711 in words is "eleven trillion, seven hundred twenty-five billion, seven hundred fifty-five million, seven hundred fifty-two thousand, seven hundred eleven".