51723944455680 has 960 divisors, whose sum is σ = 211791343915008. Its totient is φ = 11416226365440.

The previous prime is 51723944455657. The next prime is 51723944455693. The reversal of 51723944455680 is 8655444932715.

It is a happy number.

51723944455680 is a `hidden beast` number, since 5 + 1 + 7 + 2 + 39 + 4 + 44 + 556 + 8 + 0 = 666.

51723944455680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×51723944455680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2334839484 + ... + 2334861636.

It is a 1-persistent number, because it is pandigital, but 2⋅51723944455680 = 103447888911360 is not.

Almost surely, 2^{51723944455680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51723944455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105895671957504).

51723944455680 is an abundant number, since it is smaller than the sum of its proper divisors (160067399459328).

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

51723944455680 is a wasteful number, since it uses less digits than its factorization.

51723944455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22687 (or 22668 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 51723944455680 in words is "fifty-one trillion, seven hundred twenty-three billion, nine hundred forty-four million, four hundred fifty-five thousand, six hundred eighty".