51383951427600 has 405 divisors, whose sum is σ = 196018922135127. Its totient is φ = 12455568576000.

The previous prime is 51383951427541. The next prime is 51383951427623. The reversal of 51383951427600 is 672415938315.

It is a happy number.

The square root of 51383951427600 is 7168260.

It is a perfect power (a square), and thus also a powerful number.

51383951427600 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 3 + 9 + 5 + 1 + 4 + 27 + 600 = 666.

51383951427600 is digitally balanced in base 6, 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 3131923036176 + 48252028391424 = 1769724^2 + 6946368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4731046170 + ... + 4731057030.

It is a 1-persistent number, because it is pandigital, but 2⋅51383951427600 = 102767902855200 is not.

Almost surely, 2^{51383951427600} is an apocalyptic number.

51383951427600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51383951427600 is the 7168260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51383951427600

51383951427600 is an abundant number, since it is smaller than the sum of its proper divisors (144634970707527).

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

51383951427600 is a wasteful number, since it uses less digits than its factorization.

51383951427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21768 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 51383951427600 in words is "fifty-one trillion, three hundred eighty-three billion, nine hundred fifty-one million, four hundred twenty-seven thousand, six hundred".