51382839456 has 384 divisors, whose sum is σ = 173823148800. Its totient is φ = 14624686080.

The previous prime is 51382839433. The next prime is 51382839511. The reversal of 51382839456 is 65493828315.

51382839456 is a `hidden beast` number, since 5 + 138 + 28 + 39 + 456 = 666.

It is a super-2 number, since 2×51382839456² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11263416 + ... + 11267976.

It is an arithmetic number, because the mean of its divisors is an integer number (452664450).

Almost surely, 2^51382839456 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 51382839456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86911574400).

51382839456 is an abundant number, since it is smaller than the sum of its proper divisors (122440309344).

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

51382839456 is a wasteful number, since it uses less digits than its factorization.

51382839456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4655 counting only the distinct ones).

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

The spelling of 51382839456 in words is "fifty-one billion, three hundred eighty-two million, eight hundred thirty-nine thousand, four hundred fifty-six".