51839311857360 has 320 divisors, whose sum is σ = 167809286304000. Its totient is φ = 13221466030080.

The previous prime is 51839311857329. The next prime is 51839311857371. The reversal of 51839311857360 is 6375811393815.

51839311857360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 51839311857294 and 51839311857303.

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 63 ways as a sum of consecutive naturals, for example, 5658691180 + ... + 5658700340.

It is an arithmetic number, because the mean of its divisors is an integer number (524404019700).

Almost surely, 2^{51839311857360} 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 51839311857360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83904643152000).

51839311857360 is an abundant number, since it is smaller than the sum of its proper divisors (115969974446640).

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

51839311857360 is a wasteful number, since it uses less digits than its factorization.

51839311857360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16774 (or 16768 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 51839311857360 in words is "fifty-one trillion, eight hundred thirty-nine billion, three hundred eleven million, eight hundred fifty-seven thousand, three hundred sixty".