51686277120 has 576 divisors, whose sum is σ = 193272791040. Its totient is φ = 13079937024.

The previous prime is 51686277109. The next prime is 51686277127. The reversal of 51686277120 is 2177268615.

51686277120 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 627 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51686277127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406978497 + ... + 406978623.

It is an arithmetic number, because the mean of its divisors is an integer number (335543040).

Almost surely, 2^51686277120 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 51686277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636395520).

51686277120 is an abundant number, since it is smaller than the sum of its proper divisors (141586513920).

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

51686277120 is an equidigital number, since it uses as much as digits as its factorization.

51686277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 51686277120 in words is "fifty-one billion, six hundred eighty-six million, two hundred seventy-seven thousand, one hundred twenty".