10056400544 has 24 divisors (see below), whose sum is σ = 19907934228. Its totient is φ = 5000417280.

The previous prime is 10056400517. The next prime is 10056400547. The reversal of 10056400544 is 44500465001.

10056400544 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 8832240400 + 1224160144 = 93980^2 + 34988^2 .

It is a super-2 number, since 2×10056400544² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10056400547) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 862337 + ... + 873920.

Almost surely, 2^10056400544 is an apocalyptic number.

It is an amenable number.

10056400544 is a deficient number, since it is larger than the sum of its proper divisors (9851533684).

10056400544 is a wasteful number, since it uses less digits than its factorization.

10056400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736448 (or 1736440 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 10056400544 its reverse (44500465001), we get a palindrome (54556865545).

The spelling of 10056400544 in words is "ten billion, fifty-six million, four hundred thousand, five hundred forty-four".