10722809600 has 216 divisors, whose sum is σ = 28228662000. Its totient is φ = 4021125120.

The previous prime is 10722809579. The next prime is 10722809611. The reversal of 10722809600 is 690822701.

It is a happy number.

It is a Cunningham number, because it is equal to 103551²-1.

It is a super-2 number, since 2×10722809600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13253996 + ... + 13254804.

It is an arithmetic number, because the mean of its divisors is an integer number (130688250).

Almost surely, 2^10722809600 is an apocalyptic number.

10722809600 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 10722809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114331000).

10722809600 is an abundant number, since it is smaller than the sum of its proper divisors (17505852400).

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

10722809600 is a wasteful number, since it uses less digits than its factorization.

10722809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 10722809600 in words is "ten billion, seven hundred twenty-two million, eight hundred nine thousand, six hundred".