51075341460 has 864 divisors, whose sum is σ = 198032679936. Its totient is φ = 10579852800.

The previous prime is 51075341453. The next prime is 51075341503. The reversal of 51075341460 is 6414357015.

51075341460 is a `hidden beast` number, since 5 + 107 + 53 + 41 + 460 = 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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1647591645 + ... + 1647591675.

Almost surely, 2^51075341460 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 51075341460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99016339968).

51075341460 is an abundant number, since it is smaller than the sum of its proper divisors (146957338476).

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

51075341460 is a wasteful number, since it uses less digits than its factorization.

51075341460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 51075341460 its reverse (6414357015), we get a palindrome (57489698475).

The spelling of 51075341460 in words is "fifty-one billion, seventy-five million, three hundred forty-one thousand, four hundred sixty".