51723431947200 has 1008 divisors, whose sum is σ = 189919212475776. Its totient is φ = 12248390246400.

The previous prime is 51723431947177. The next prime is 51723431947207. The reversal of 51723431947200 is 274913432715.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51723431947200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51723431947207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7730295855 + ... + 7730302545.

Almost surely, 2^{51723431947200} is an apocalyptic number.

51723431947200 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 51723431947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94959606237888).

51723431947200 is an abundant number, since it is smaller than the sum of its proper divisors (138195780528576).

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

51723431947200 is a wasteful number, since it uses less digits than its factorization.

51723431947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6882 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 51723431947200 in words is "fifty-one trillion, seven hundred twenty-three billion, four hundred thirty-one million, nine hundred forty-seven thousand, two hundred".