10967877011160 has 256 divisors, whose sum is σ = 37147553856000. Its totient is φ = 2878011072000.

The previous prime is 10967877011149. The next prime is 10967877011173. The reversal of 10967877011160 is 6111077876901.

It is a happy number.

It is a super-2 number, since 2×10967877011160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10967877011097 and 10967877011106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22255906 + ... + 22743374.

It is an arithmetic number, because the mean of its divisors is an integer number (145107632250).

Almost surely, 2^{10967877011160} is an apocalyptic number.

10967877011160 is a gapful number since it is divisible by the number (10) 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 10967877011160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18573776928000).

10967877011160 is an abundant number, since it is smaller than the sum of its proper divisors (26179676844840).

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

10967877011160 is a wasteful number, since it uses less digits than its factorization.

10967877011160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487823 (or 487813 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 54.

The spelling of 10967877011160 in words is "ten trillion, nine hundred sixty-seven billion, eight hundred seventy-seven million, eleven thousand, one hundred sixty".