51205760760 has 512 divisors, whose sum is σ = 207077990400. Its totient is φ = 9806469120.

The previous prime is 51205760759. The next prime is 51205760833. The reversal of 51205760760 is 6706750215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6491779 + ... + 6499661.

It is an arithmetic number, because the mean of its divisors is an integer number (404449200).

Almost surely, 2^51205760760 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 51205760760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103538995200).

51205760760 is an abundant number, since it is smaller than the sum of its proper divisors (155872229640).

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

51205760760 is a wasteful number, since it uses less digits than its factorization.

51205760760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7971 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 51205760760 in words is "fifty-one billion, two hundred five million, seven hundred sixty thousand, seven hundred sixty".