10680183768000 has 448 divisors, whose sum is σ = 38963966865408. Its totient is φ = 2563970252800.

The previous prime is 10680183767963. The next prime is 10680183768011. The reversal of 10680183768000 is 86738108601.

It is a super-2 number, since 2×10680183768000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8814937 + ... + 9953063.

Almost surely, 2^{10680183768000} is an apocalyptic number.

10680183768000 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 10680183768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19481983432704).

10680183768000 is an abundant number, since it is smaller than the sum of its proper divisors (28283783097408).

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

10680183768000 is a wasteful number, since it uses less digits than its factorization.

10680183768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138197 (or 1138177 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 10680183768000 in words is "ten trillion, six hundred eighty billion, one hundred eighty-three million, seven hundred sixty-eight thousand".