51380828928 has 576 divisors, whose sum is σ = 180074764800. Its totient is φ = 14246461440.

The previous prime is 51380828927. The next prime is 51380828929. The reversal of 51380828928 is 82982808315.

51380828928 is a `hidden beast` number, since 513 + 80 + 8 + 28 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (51380828927) and next prime (51380828929).

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 (54).

It is not an unprimeable number, because it can be changed into a prime (51380828927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 224370318 + ... + 224370546.

It is an arithmetic number, because the mean of its divisors is an integer number (312629800).

Almost surely, 2^51380828928 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 51380828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90037382400).

51380828928 is an abundant number, since it is smaller than the sum of its proper divisors (128693935872).

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

51380828928 is a wasteful number, since it uses less digits than its factorization.

51380828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 51380828928 in words is "fifty-one billion, three hundred eighty million, eight hundred twenty-eight thousand, nine hundred twenty-eight".