51359327480160 has 2304 divisors, whose sum is σ = 219757768409088. Its totient is φ = 11080538726400.

The previous prime is 51359327480117. The next prime is 51359327480249. The reversal of 51359327480160 is 6108472395315.

It is a happy number.

51359327480160 is a `hidden beast` number, since 5 + 1 + 3 + 593 + 2 + 7 + 48 + 0 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 51359327480097 and 51359327480106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 148009589107 + ... + 148009589453.

It is an arithmetic number, because the mean of its divisors is an integer number (95380975872).

It is a 2-persistent number, because it is pandigital, and so is 2⋅51359327480160 = 102718654960320, but 3⋅51359327480160 = 154077982440480 is not.

Almost surely, 2^{51359327480160} 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 51359327480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109878884204544).

51359327480160 is an abundant number, since it is smaller than the sum of its proper divisors (168398440928928).

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

51359327480160 is a wasteful number, since it uses less digits than its factorization.

51359327480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 51359327480160 in words is "fifty-one trillion, three hundred fifty-nine billion, three hundred twenty-seven million, four hundred eighty thousand, one hundred sixty".