51824983168 has 128 divisors (see below), whose sum is σ = 120176236800. Its totient is φ = 21801553920.

The previous prime is 51824983141. The next prime is 51824983187. The reversal of 51824983168 is 86138942815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48479338 + ... + 48480406.

It is an arithmetic number, because the mean of its divisors is an integer number (938876850).

Almost surely, 2^51824983168 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 51824983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60088118400).

51824983168 is an abundant number, since it is smaller than the sum of its proper divisors (68351253632).

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

51824983168 is a wasteful number, since it uses less digits than its factorization.

51824983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2026 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 55.

The spelling of 51824983168 in words is "fifty-one billion, eight hundred twenty-four million, nine hundred eighty-three thousand, one hundred sixty-eight".