51127432787664 has 30 divisors (see below), whose sum is σ = 143085801482546. Its totient is φ = 17042477595840.

The previous prime is 51127432787633. The next prime is 51127432787671. The reversal of 51127432787664 is 46678723472115.

51127432787664 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 7 + 432 + 78 + 76 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34265897349264 + 16861535438400 = 5853708^2 + 4106280^2 .

It is a super-2 number, since 2×51127432787664² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177525808147 + ... + 177525808434.

Almost surely, 2^{51127432787664} is an apocalyptic number.

It is an amenable number.

51127432787664 is an abundant number, since it is smaller than the sum of its proper divisors (91958368694882).

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

51127432787664 is a wasteful number, since it uses less digits than its factorization.

51127432787664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355051616595 (or 355051616586 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 51127432787664 in words is "fifty-one trillion, one hundred twenty-seven billion, four hundred thirty-two million, seven hundred eighty-seven thousand, six hundred sixty-four".