51311484576 has 216 divisors, whose sum is σ = 167364156960. Its totient is φ = 14872661760.

The previous prime is 51311484571. The next prime is 51311484583. The reversal of 51311484576 is 67548411315.

51311484576 is a `hidden beast` number, since 5 + 1 + 31 + 1 + 48 + 4 + 576 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51311484571) 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 35 ways as a sum of consecutive naturals, for example, 769495 + ... + 833513.

It is an arithmetic number, because the mean of its divisors is an integer number (774834060).

Almost surely, 2^51311484576 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 51311484576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83682078480).

51311484576 is an abundant number, since it is smaller than the sum of its proper divisors (116052672384).

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

51311484576 is a wasteful number, since it uses less digits than its factorization.

51311484576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64080 (or 64058 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 51311484576 in words is "fifty-one billion, three hundred eleven million, four hundred eighty-four thousand, five hundred seventy-six".