10681037716800 has 504 divisors, whose sum is σ = 38591202817440. Its totient is φ = 2564997836800.

The previous prime is 10681037716793. The next prime is 10681037716829. The reversal of 10681037716800 is 861773018601.

It is a happy number.

It is a super-2 number, since 2×10681037716800² (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 self number, because there is not a number n which added to its sum of digits gives 10681037716800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 604498366 + ... + 604516034.

It is an arithmetic number, because the mean of its divisors is an integer number (76569846860).

Almost surely, 2^{10681037716800} is an apocalyptic number.

10681037716800 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 10681037716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295601408720).

10681037716800 is an abundant number, since it is smaller than the sum of its proper divisors (27910165100640).

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

10681037716800 is a wasteful number, since it uses less digits than its factorization.

10681037716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17919 (or 17797 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 10681037716800 in words is "ten trillion, six hundred eighty-one billion, thirty-seven million, seven hundred sixteen thousand, eight hundred".