10729817280 has 560 divisors, whose sum is σ = 46986139200. Its totient is φ = 2263375872.

The previous prime is 10729817261. The next prime is 10729817303. The reversal of 10729817280 is 8271892701.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2356446 + ... + 2360994.

It is an arithmetic number, because the mean of its divisors is an integer number (83903820).

Almost surely, 2^10729817280 is an apocalyptic number.

10729817280 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 10729817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23493069600).

10729817280 is an abundant number, since it is smaller than the sum of its proper divisors (36256321920).

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

10729817280 is a wasteful number, since it uses less digits than its factorization.

10729817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 10729817280 in words is "ten billion, seven hundred twenty-nine million, eight hundred seventeen thousand, two hundred eighty".