51355528657272 has 256 divisors, whose sum is σ = 167370805094400. Its totient is φ = 14466343651200.

The previous prime is 51355528657243. The next prime is 51355528657273. The reversal of 51355528657272 is 27275682555315.

51355528657272 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 5 + 52 + 8 + 6 + 572 + 7 + 2 = 666.

51355528657272 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 3×51355528657272³ (a number of 42 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (51355528657273) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5742522 + ... + 11648502.

It is an arithmetic number, because the mean of its divisors is an integer number (653792207400).

Almost surely, 2^{51355528657272} 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 51355528657272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83685402547200).

51355528657272 is an abundant number, since it is smaller than the sum of its proper divisors (116015276437128).

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

51355528657272 is an equidigital number, since it uses as much as digits as its factorization.

51355528657272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906086 (or 5906064 counting only the distinct ones).

The product of its digits is 176400000, while the sum is 63.

The spelling of 51355528657272 in words is "fifty-one trillion, three hundred fifty-five billion, five hundred twenty-eight million, six hundred fifty-seven thousand, two hundred seventy-two".