51282783048960 has 1728 divisors, whose sum is σ = 197029912375296. Its totient is φ = 12271524249600.

The previous prime is 51282783048869. The next prime is 51282783048967. The reversal of 51282783048960 is 6984038728215.

51282783048960 is a `hidden beast` number, since 5 + 1 + 2 + 82 + 78 + 3 + 0 + 489 + 6 + 0 = 666.

It is a super-2 number, since 2×51282783048960² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51282783048967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66342539134 + ... + 66342539906.

It is an arithmetic number, because the mean of its divisors is an integer number (114021940032).

It is a 1-persistent number, because it is pandigital, but 2⋅51282783048960 = 102565566097920 is not.

Almost surely, 2^{51282783048960} 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 51282783048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98514956187648).

51282783048960 is an abundant number, since it is smaller than the sum of its proper divisors (145747129326336).

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

51282783048960 is a wasteful number, since it uses less digits than its factorization.

51282783048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 51282783048960 in words is "fifty-one trillion, two hundred eighty-two billion, seven hundred eighty-three million, forty-eight thousand, nine hundred sixty".