51340588277760 has 1344 divisors, whose sum is σ = 190816970932224. Its totient is φ = 12746568499200.

The previous prime is 51340588277753. The next prime is 51340588277801. The reversal of 51340588277760 is 6777288504315.

It is a happy number.

51340588277760 is a `hidden beast` number, since 5 + 1 + 3 + 40 + 588 + 2 + 7 + 7 + 7 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32763616497 + ... + 32763618063.

It is an arithmetic number, because the mean of its divisors is an integer number (141976912896).

Almost surely, 2^{51340588277760} 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 51340588277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95408485466112).

51340588277760 is an abundant number, since it is smaller than the sum of its proper divisors (139476382654464).

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

51340588277760 is a wasteful number, since it uses less digits than its factorization.

51340588277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 51340588277760 in words is "fifty-one trillion, three hundred forty billion, five hundred eighty-eight million, two hundred seventy-seven thousand, seven hundred sixty".