10960368557112 has 192 divisors, whose sum is σ = 32178082809600. Its totient is φ = 3350262343680.

The previous prime is 10960368556979. The next prime is 10960368557137. The reversal of 10960368557112 is 21175586306901.

10960368557112 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 0 + 3 + 68 + 5 + 571 + 1 + 2 = 666.

It is a super-3 number, since 3×10960368557112³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208698937 + ... + 208751447.

It is an arithmetic number, because the mean of its divisors is an integer number (167594181300).

Almost surely, 2^{10960368557112} is an apocalyptic number.

10960368557112 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 10960368557112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089041404800).

10960368557112 is an abundant number, since it is smaller than the sum of its proper divisors (21217714252488).

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

10960368557112 is a wasteful number, since it uses less digits than its factorization.

10960368557112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53998 (or 53991 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 10960368557112 in words is "ten trillion, nine hundred sixty billion, three hundred sixty-eight million, five hundred fifty-seven thousand, one hundred twelve".