51383794176 has 960 divisors, whose sum is σ = 192006460800. Its totient is φ = 13430292480.

The previous prime is 51383794139. The next prime is 51383794213. The reversal of 51383794176 is 67149738315.

51383794176 is a `hidden beast` number, since 5 + 1 + 383 + 7 + 94 + 176 = 666.

It is an interprime number because it is at equal distance from previous prime (51383794139) and next prime (51383794213).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 369667515 + ... + 369667653.

It is an arithmetic number, because the mean of its divisors is an integer number (200006730).

Almost surely, 2^51383794176 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 51383794176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96003230400).

51383794176 is an abundant number, since it is smaller than the sum of its proper divisors (140622666624).

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

51383794176 is a wasteful number, since it uses less digits than its factorization.

51383794176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 51383794176 in words is "fifty-one billion, three hundred eighty-three million, seven hundred ninety-four thousand, one hundred seventy-six".