51361597647360 has 5760 divisors, whose sum is σ = 261501662822400. Its totient is φ = 8986617446400.

The previous prime is 51361597647257. The next prime is 51361597647413. The reversal of 51361597647360 is 6374679516315.

51361597647360 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 1 + 597 + 6 + 4 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 258098480541 + ... + 258098480739.

It is an arithmetic number, because the mean of its divisors is an integer number (45399594240).

Almost surely, 2^{51361597647360} 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 51361597647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130750831411200).

51361597647360 is an abundant number, since it is smaller than the sum of its proper divisors (210140065175040).

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

51361597647360 is a wasteful number, since it uses less digits than its factorization.

51361597647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 51361597647360 in words is "fifty-one trillion, three hundred sixty-one billion, five hundred ninety-seven million, six hundred forty-seven thousand, three hundred sixty".