10126652724 has 84 divisors (see below), whose sum is σ = 26599129956. Its totient is φ = 3371891328.

The previous prime is 10126652677. The next prime is 10126652743. The reversal of 10126652724 is 42725662101.

It is a happy number.

10126652724 is a `hidden beast` number, since 1 + 0 + 126 + 6 + 527 + 2 + 4 = 666.

10126652724 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 2 ways, for example, as 3166087824 + 6960564900 = 56268^2 + 83430^2 .

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

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 27 ways as a sum of consecutive naturals, for example, 4702432 + ... + 4704584.

It is an arithmetic number, because the mean of its divisors is an integer number (316656309).

Almost surely, 2^10126652724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10126652724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299564978).

10126652724 is an abundant number, since it is smaller than the sum of its proper divisors (16472477232).

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

10126652724 is a wasteful number, since it uses less digits than its factorization.

10126652724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10126652724 in words is "ten billion, one hundred twenty-six million, six hundred fifty-two thousand, seven hundred twenty-four".