51228966553944 has 192 divisors, whose sum is σ = 138110099760000. Its totient is φ = 15791165139456.

The previous prime is 51228966553939. The next prime is 51228966553967. The reversal of 51228966553944 is 44935566982215.

51228966553944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×51228966553944³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 1365031372 + ... + 1365068900.

It is an arithmetic number, because the mean of its divisors is an integer number (719323436250).

Almost surely, 2^{51228966553944} 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 51228966553944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69055049880000).

51228966553944 is an abundant number, since it is smaller than the sum of its proper divisors (86881133206056).

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

51228966553944 is a wasteful number, since it uses less digits than its factorization.

51228966553944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39262 (or 39215 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 69.

The spelling of 51228966553944 in words is "fifty-one trillion, two hundred twenty-eight billion, nine hundred sixty-six million, five hundred fifty-three thousand, nine hundred forty-four".