51726324249600 has 3168 divisors, whose sum is σ = 245982481113600. Its totient is φ = 9397488844800.

The previous prime is 51726324249577. The next prime is 51726324249641. The reversal of 51726324249600 is 694242362715.

It is a super-2 number, since 2×51726324249600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10224611871 + ... + 10224616929.

It is an arithmetic number, because the mean of its divisors is an integer number (77645985200).

Almost surely, 2^{51726324249600} is an apocalyptic number.

51726324249600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51726324249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122991240556800).

51726324249600 is an abundant number, since it is smaller than the sum of its proper divisors (194256156864000).

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

51726324249600 is a wasteful number, since it uses less digits than its factorization.

51726324249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 51726324249600 in words is "fifty-one trillion, seven hundred twenty-six billion, three hundred twenty-four million, two hundred forty-nine thousand, six hundred".