11936367127872 has 672 divisors, whose sum is σ = 40286761167744. Its totient is φ = 3338728243200.

The previous prime is 11936367127859. The next prime is 11936367127961. The reversal of 11936367127872 is 27872176363911.

11936367127872 is a `hidden beast` number, since 1 + 19 + 363 + 67 + 127 + 87 + 2 = 666.

It is a super-2 number, since 2×11936367127872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1423194463 + ... + 1423202849.

It is an arithmetic number, because the mean of its divisors is an integer number (59950537452).

Almost surely, 2^{11936367127872} is an apocalyptic number.

11936367127872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11936367127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20143380583872).

11936367127872 is an abundant number, since it is smaller than the sum of its proper divisors (28350394039872).

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

11936367127872 is a wasteful number, since it uses less digits than its factorization.

11936367127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8674 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 11936367127872 in words is "eleven trillion, nine hundred thirty-six billion, three hundred sixty-seven million, one hundred twenty-seven thousand, eight hundred seventy-two".