51271658880 has 1024 divisors, whose sum is σ = 196880302080. Its totient is φ = 11240570880.

The previous prime is 51271658839. The next prime is 51271658881. The reversal of 51271658880 is 8885617215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51271658881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 765248607 + ... + 765248673.

It is an arithmetic number, because the mean of its divisors is an integer number (192265920).

Almost surely, 2^51271658880 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 51271658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98440151040).

51271658880 is an abundant number, since it is smaller than the sum of its proper divisors (145608643200).

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

51271658880 is a wasteful number, since it uses less digits than its factorization.

51271658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 51.

The spelling of 51271658880 in words is "fifty-one billion, two hundred seventy-one million, six hundred fifty-eight thousand, eight hundred eighty".