11791892356128 has 36 divisors (see below), whose sum is σ = 33533193888558. Its totient is φ = 3930630785280.

The previous prime is 11791892356103. The next prime is 11791892356129. The reversal of 11791892356128 is 82165329819711.

11791892356128 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 1 + 8 + 9 + 2 + 3 + 5 + 612 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5982192005904 + 5809700350224 = 2445852^2 + 2410332^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11791892356129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20472035053 + ... + 20472035628.

Almost surely, 2^{11791892356128} is an apocalyptic number.

11791892356128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11791892356128 is an abundant number, since it is smaller than the sum of its proper divisors (21741301532430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11791892356128 is a wasteful number, since it uses less digits than its factorization.

11791892356128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40944070697 (or 40944070686 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 11791892356128 in words is "eleven trillion, seven hundred ninety-one billion, eight hundred ninety-two million, three hundred fifty-six thousand, one hundred twenty-eight".