51607121417280 has 2016 divisors, whose sum is σ = 223364184126720. Its totient is φ = 10832552755200.

The previous prime is 51607121417251. The next prime is 51607121417297. The reversal of 51607121417280 is 8271412170615.

51607121417280 is a `hidden beast` number, since 5 + 1 + 607 + 1 + 2 + 1 + 4 + 17 + 28 + 0 = 666.

51607121417280 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 (45).

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 287 ways as a sum of consecutive naturals, for example, 8865676770 + ... + 8865682590.

Almost surely, 2^{51607121417280} 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 51607121417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111682092063360).

51607121417280 is an abundant number, since it is smaller than the sum of its proper divisors (171757062709440).

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

51607121417280 is a wasteful number, since it uses less digits than its factorization.

51607121417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

Adding to 51607121417280 its reverse (8271412170615), we get a palindrome (59878533587895).

The spelling of 51607121417280 in words is "fifty-one trillion, six hundred seven billion, one hundred twenty-one million, four hundred seventeen thousand, two hundred eighty".