51413434560 has 1344 divisors, whose sum is σ = 215681356800. Its totient is φ = 11561730048.

The previous prime is 51413434549. The next prime is 51413434591. The reversal of 51413434560 is 6543431415.

51413434560 is a `hidden beast` number, since 51 + 4 + 1 + 3 + 43 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 577678996 + ... + 577679084.

It is an arithmetic number, because the mean of its divisors is an integer number (160477200).

Almost surely, 2^51413434560 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 51413434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107840678400).

51413434560 is an abundant number, since it is smaller than the sum of its proper divisors (164267922240).

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

51413434560 is a wasteful number, since it uses less digits than its factorization.

51413434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 51413434560 its reverse (6543431415), we get a palindrome (57956865975).

The spelling of 51413434560 in words is "fifty-one billion, four hundred thirteen million, four hundred thirty-four thousand, five hundred sixty".