51711127680 has 256 divisors, whose sum is σ = 175654085760. Its totient is φ = 12894535680.

The previous prime is 51711127667. The next prime is 51711127693. The reversal of 51711127680 is 8672111715.

It is an interprime number because it is at equal distance from previous prime (51711127667) and next prime (51711127693).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5119435 + ... + 5129525.

Almost surely, 2^51711127680 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 51711127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87827042880).

51711127680 is an abundant number, since it is smaller than the sum of its proper divisors (123942958080).

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

51711127680 is a wasteful number, since it uses less digits than its factorization.

51711127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10275 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 39.

The spelling of 51711127680 in words is "fifty-one billion, seven hundred eleven million, one hundred twenty-seven thousand, six hundred eighty".