11627120645825 has 6 divisors (see below), whose sum is σ = 14417629600854. Its totient is φ = 9301696516640.

The previous prime is 11627120645771. The next prime is 11627120645843. The reversal of 11627120645825 is 52854602172611.

It can be written as a sum of positive squares in 3 ways, for example, as 2413054666801 + 9214065979024 = 1553401^2 + 3035468^2 .

It is not a de Polignac number, because 11627120645825 - 2⁶ = 11627120645761 is a prime.

It is a super-3 number, since 3×11627120645825³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 232542412892 + ... + 232542412941.

It is an arithmetic number, because the mean of its divisors is an integer number (2402938266809).

Almost surely, 2^{11627120645825} is an apocalyptic number.

It is an amenable number.

11627120645825 is a deficient number, since it is larger than the sum of its proper divisors (2790508955029).

11627120645825 is an equidigital number, since it uses as much as digits as its factorization.

11627120645825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465084825843 (or 465084825838 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 11627120645825 in words is "eleven trillion, six hundred twenty-seven billion, one hundred twenty million, six hundred forty-five thousand, eight hundred twenty-five".