10722121536 has 112 divisors (see below), whose sum is σ = 32669683200. Its totient is φ = 3040028160.

The previous prime is 10722121499. The next prime is 10722121547. The reversal of 10722121536 is 63512122701.

10722121536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10722121536² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145615 + ... + 206513.

It is an arithmetic number, because the mean of its divisors is an integer number (291693600).

Almost surely, 2^10722121536 is an apocalyptic number.

10722121536 is a gapful number since it is divisible by the number (16) 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 10722121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334841600).

10722121536 is an abundant number, since it is smaller than the sum of its proper divisors (21947561664).

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

10722121536 is a wasteful number, since it uses less digits than its factorization.

10722121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61052 (or 61042 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10722121536 in words is "ten billion, seven hundred twenty-two million, one hundred twenty-one thousand, five hundred thirty-six".