51309271487360 has 128 divisors (see below), whose sum is σ = 123388380367200. Its totient is φ = 20402076082176.

The previous prime is 51309271487351. The next prime is 51309271487381. The reversal of 51309271487360 is 6378417290315.

51309271487360 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 (128).

It is a super-2 number, since 2×51309271487360² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51309271487296 and 51309271487305.

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 15 ways as a sum of consecutive naturals, for example, 849081467 + ... + 849141893.

It is a 1-persistent number, because it is pandigital, but 2⋅51309271487360 = 102618542974720 is not.

Almost surely, 2^{51309271487360} 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 51309271487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61694190183600).

51309271487360 is an abundant number, since it is smaller than the sum of its proper divisors (72079108879840).

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

51309271487360 is a wasteful number, since it uses less digits than its factorization.

51309271487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68288 (or 68276 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 51309271487360 in words is "fifty-one trillion, three hundred nine billion, two hundred seventy-one million, four hundred eighty-seven thousand, three hundred sixty".