10563552400 has 60 divisors (see below), whose sum is σ = 25664177700. Its totient is φ = 4177930240.

The previous prime is 10563552367. The next prime is 10563552407. The reversal of 10563552400 is 425536501.

It can be written as a sum of positive squares in 6 ways, for example, as 1510410496 + 9053141904 = 38864^2 + 95148^2 .

It is a super-2 number, since 2×10563552400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10563552407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112765 + ... + 183964.

It is an arithmetic number, because the mean of its divisors is an integer number (427736295).

Almost surely, 2^10563552400 is an apocalyptic number.

10563552400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10563552400 is an abundant number, since it is smaller than the sum of its proper divisors (15100625300).

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

10563552400 is a wasteful number, since it uses less digits than its factorization.

10563552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296836 (or 296825 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 10563552400 in words is "ten billion, five hundred sixty-three million, five hundred fifty-two thousand, four hundred".