51563400400 has 60 divisors (see below), whose sum is σ = 131168208492. Its totient is φ = 19412101120.

The previous prime is 51563400313. The next prime is 51563400403. The reversal of 51563400400 is 400436515.

It can be written as a sum of positive squares in 6 ways, for example, as 6952891456 + 44610508944 = 83384^2 + 211212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51563400403) 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, 3784627 + ... + 3798226.

Almost surely, 2^51563400400 is an apocalyptic number.

51563400400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51563400400 is an abundant number, since it is smaller than the sum of its proper divisors (79604808092).

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

51563400400 is a wasteful number, since it uses less digits than its factorization.

51563400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582888 (or 7582877 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 51563400400 its reverse (400436515), we get a palindrome (51963836915).

The spelling of 51563400400 in words is "fifty-one billion, five hundred sixty-three million, four hundred thousand, four hundred".