11757612407101 has 16 divisors (see below), whose sum is σ = 12939897106368. Its totient is φ = 10594468489600.

The previous prime is 11757612407089. The next prime is 11757612407153. The reversal of 11757612407101 is 10170421675711.

11757612407101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11757612407101 - 2⁷ = 11757612406973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11757612407201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4989895 + ... + 6958036.

It is an arithmetic number, because the mean of its divisors is an integer number (808743569148).

Almost surely, 2^{11757612407101} is an apocalyptic number.

11757612407101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11757612407101 is a deficient number, since it is larger than the sum of its proper divisors (1182284699267).

11757612407101 is a wasteful number, since it uses less digits than its factorization.

11757612407101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11948732.

The product of its (nonzero) digits is 82320, while the sum is 43.

The spelling of 11757612407101 in words is "eleven trillion, seven hundred fifty-seven billion, six hundred twelve million, four hundred seven thousand, one hundred one".