51413819424 has 384 divisors, whose sum is σ = 161455472640. Its totient is φ = 14152320000.

The previous prime is 51413819399. The next prime is 51413819473. The reversal of 51413819424 is 42491831415.

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, 81479589 + ... + 81480219.

It is an arithmetic number, because the mean of its divisors is an integer number (420456960).

Almost surely, 2^51413819424 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 51413819424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80727736320).

51413819424 is an abundant number, since it is smaller than the sum of its proper divisors (110041653216).

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

51413819424 is a wasteful number, since it uses less digits than its factorization.

51413819424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 828 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The spelling of 51413819424 in words is "fifty-one billion, four hundred thirteen million, eight hundred nineteen thousand, four hundred twenty-four".