51405434213320 has 256 divisors, whose sum is σ = 132048081377280. Its totient is φ = 17827907328000.

The previous prime is 51405434213291. The next prime is 51405434213333. The reversal of 51405434213320 is 2331243450415.

It is a self number, because there is not a number n which added to its sum of digits gives 51405434213320.

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, 7968596095 + ... + 7968602545.

It is an arithmetic number, because the mean of its divisors is an integer number (515812817880).

Almost surely, 2^{51405434213320} 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 51405434213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66024040688640).

51405434213320 is an abundant number, since it is smaller than the sum of its proper divisors (80642647163960).

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

51405434213320 is a wasteful number, since it uses less digits than its factorization.

51405434213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8676 (or 8672 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 51405434213320 its reverse (2331243450415), we get a palindrome (53736677663735).

The spelling of 51405434213320 in words is "fifty-one trillion, four hundred five billion, four hundred thirty-four million, two hundred thirteen thousand, three hundred twenty".