51185114465760 has 288 divisors, whose sum is σ = 190568574443520. Its totient is φ = 12407187225600.

The previous prime is 51185114465753. The next prime is 51185114465777. The reversal of 51185114465760 is 6756441158115.

51185114465760 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 5 + 114 + 465 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×51185114465760² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51185114465697 and 51185114465706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152387281 + ... + 152722799.

It is an arithmetic number, because the mean of its divisors is an integer number (661696439040).

Almost surely, 2^{51185114465760} 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 51185114465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95284287221760).

51185114465760 is an abundant number, since it is smaller than the sum of its proper divisors (139383459977760).

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

51185114465760 is a wasteful number, since it uses less digits than its factorization.

51185114465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345182 (or 345171 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 51185114465760 in words is "fifty-one trillion, one hundred eighty-five billion, one hundred fourteen million, four hundred sixty-five thousand, seven hundred sixty".