10722040560 has 480 divisors, whose sum is σ = 46115476992. Its totient is φ = 2167326720.

The previous prime is 10722040507. The next prime is 10722040561. The reversal of 10722040560 is 6504022701.

10722040560 is a `hidden beast` number, since 10 + 72 + 20 + 4 + 0 + 560 = 666.

It is a super-2 number, since 2×10722040560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10722040561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2048667 + ... + 2053893.

Almost surely, 2^10722040560 is an apocalyptic number.

10722040560 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 10722040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23057738496).

10722040560 is an abundant number, since it is smaller than the sum of its proper divisors (35393436432).

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

10722040560 is a wasteful number, since it uses less digits than its factorization.

10722040560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10722040560 in words is "ten billion, seven hundred twenty-two million, forty thousand, five hundred sixty".