51076085760 has 960 divisors, whose sum is σ = 220713292800. Its totient is φ = 11036196864.

The previous prime is 51076085747. The next prime is 51076085821. The reversal of 51076085760 is 6758067015.

51076085760 is a `hidden beast` number, since 5 + 1 + 0 + 76 + 0 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 110315289 + ... + 110315751.

It is an arithmetic number, because the mean of its divisors is an integer number (229909680).

Almost surely, 2^51076085760 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 51076085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110356646400).

51076085760 is an abundant number, since it is smaller than the sum of its proper divisors (169637207040).

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

51076085760 is a wasteful number, since it uses less digits than its factorization.

51076085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 51076085760 in words is "fifty-one billion, seventy-six million, eighty-five thousand, seven hundred sixty".