51127677786801 has 192 divisors, whose sum is σ = 89140179490560. Its totient is φ = 25756978544640.

The previous prime is 51127677786797. The next prime is 51127677786803. The reversal of 51127677786801 is 10868777672115.

It is not a de Polignac number, because 51127677786801 - 2² = 51127677786797 is a prime.

It is a super-2 number, since 2×51127677786801² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51127677786803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39419951385 + ... + 39419952681.

It is an arithmetic number, because the mean of its divisors is an integer number (464271768180).

Almost surely, 2^{51127677786801} is an apocalyptic number.

It is an amenable number.

51127677786801 is a deficient number, since it is larger than the sum of its proper divisors (38012501703759).

51127677786801 is a wasteful number, since it uses less digits than its factorization.

51127677786801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 66.

The spelling of 51127677786801 in words is "fifty-one trillion, one hundred twenty-seven billion, six hundred seventy-seven million, seven hundred eighty-six thousand, eight hundred one".