10979168716800 has 2880 divisors, whose sum is σ = 45299500646400. Its totient is φ = 2618907033600.

The previous prime is 10979168716781. The next prime is 10979168716819. The reversal of 10979168716800 is 861786197901.

It is an interprime number because it is at equal distance from previous prime (10979168716781) and next prime (10979168716819).

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 138976819161 + ... + 138976819239.

It is an arithmetic number, because the mean of its divisors is an integer number (15728993280).

Almost surely, 2^{10979168716800} is an apocalyptic number.

10979168716800 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 10979168716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649750323200).

10979168716800 is an abundant number, since it is smaller than the sum of its proper divisors (34320331929600).

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

10979168716800 is a wasteful number, since it uses less digits than its factorization.

10979168716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 10979168716800 in words is "ten trillion, nine hundred seventy-nine billion, one hundred sixty-eight million, seven hundred sixteen thousand, eight hundred".