51803924576 has 96 divisors (see below), whose sum is σ = 105380352000. Its totient is φ = 25053880320.

The previous prime is 51803924551. The next prime is 51803924591. The reversal of 51803924576 is 67542930815.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115376000 + ... + 115376448.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅51803924576 = 103607849152, but 3⋅51803924576 = 155411773728 is not.

Almost surely, 2^51803924576 is an apocalyptic number.

51803924576 is the 131408-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51803924576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176000).

51803924576 is an abundant number, since it is smaller than the sum of its proper divisors (53576427424).

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

51803924576 is a wasteful number, since it uses less digits than its factorization.

51803924576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 51803924576 in words is "fifty-one billion, eight hundred three million, nine hundred twenty-four thousand, five hundred seventy-six".