51359413210560 has 1344 divisors, whose sum is σ = 233250067814400. Its totient is φ = 10462565449728.

The previous prime is 51359413210529. The next prime is 51359413210603. The reversal of 51359413210560 is 6501231495315.

51359413210560 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 9 + 41 + 32 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 205083501 + ... + 205333779.

It is an arithmetic number, because the mean of its divisors is an integer number (173549157600).

Almost surely, 2^{51359413210560} 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 51359413210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116625033907200).

51359413210560 is an abundant number, since it is smaller than the sum of its proper divisors (181890654603840).

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

51359413210560 is a wasteful number, since it uses less digits than its factorization.

51359413210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250360 (or 250338 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 51359413210560 in words is "fifty-one trillion, three hundred fifty-nine billion, four hundred thirteen million, two hundred ten thousand, five hundred sixty".