10681272000 has 336 divisors, whose sum is σ = 43669134912. Its totient is φ = 2441318400.

The previous prime is 10681271987. The next prime is 10681272001. The reversal of 10681272000 is 27218601.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10681272000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10681272001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493404 + ... + 514596.

Almost surely, 2^10681272000 is an apocalyptic number.

10681272000 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 10681272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21834567456).

10681272000 is an abundant number, since it is smaller than the sum of its proper divisors (32987862912).

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

10681272000 is a wasteful number, since it uses less digits than its factorization.

10681272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21233 (or 21210 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10681272000 in words is "ten billion, six hundred eighty-one million, two hundred seventy-two thousand".