51707688268320 has 288 divisors, whose sum is σ = 212273668414080. Its totient is φ = 11196852756480.

The previous prime is 51707688268273. The next prime is 51707688268367. The reversal of 51707688268320 is 2386288670715.

51707688268320 is a `hidden beast` number, since 5 + 170 + 7 + 6 + 8 + 82 + 68 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (51707688268273) and next prime (51707688268367).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 134801401 + ... + 135184440.

It is an arithmetic number, because the mean of its divisors is an integer number (737061348660).

Almost surely, 2^{51707688268320} is an apocalyptic number.

It is an amenable number.

51707688268320 is an abundant number, since it is smaller than the sum of its proper divisors (160565980145760).

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

51707688268320 is a wasteful number, since it uses less digits than its factorization.

51707688268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269985888 (or 269985877 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 51707688268320 in words is "fifty-one trillion, seven hundred seven billion, six hundred eighty-eight million, two hundred sixty-eight thousand, three hundred twenty".