51594983424 has 480 divisors, whose sum is σ = 162363801600. Its totient is φ = 16303472640.

The previous prime is 51594983423. The next prime is 51594983437. The reversal of 51594983424 is 42438949515.

It is a happy number.

51594983424 is a `hidden beast` number, since 5 + 1 + 594 + 9 + 8 + 3 + 42 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51594983423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406259649 + ... + 406259775.

It is an arithmetic number, because the mean of its divisors is an integer number (338257920).

Almost surely, 2^51594983424 is an apocalyptic number.

51594983424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51594983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81181900800).

51594983424 is an abundant number, since it is smaller than the sum of its proper divisors (110768818176).

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

51594983424 is a wasteful number, since it uses less digits than its factorization.

51594983424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 242 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 51594983424 in words is "fifty-one billion, five hundred ninety-four million, nine hundred eighty-three thousand, four hundred twenty-four".