10552726080 has 168 divisors, whose sum is σ = 39089194872. Its totient is φ = 2597584896.

The previous prime is 10552726073. The next prime is 10552726123. The reversal of 10552726080 is 8062725501.

It is a happy number.

10552726080 is a `hidden beast` number, since 1 + 0 + 552 + 7 + 26 + 0 + 80 = 666.

10552726080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 618218496 + 9934507584 = 24864^2 + 99672^2 .

It is a super-2 number, since 2×10552726080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 103489 + ... + 178368.

It is an arithmetic number, because the mean of its divisors is an integer number (232673779).

Almost surely, 2^10552726080 is an apocalyptic number.

10552726080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10552726080 is an abundant number, since it is smaller than the sum of its proper divisors (28536468792).

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

10552726080 is a wasteful number, since it uses less digits than its factorization.

10552726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281893 (or 281880 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10552726080 in words is "ten billion, five hundred fifty-two million, seven hundred twenty-six thousand, eighty".