51141563264 has 64 divisors (see below), whose sum is σ = 111368234880. Its totient is φ = 23199628800.

The previous prime is 51141563261. The next prime is 51141563269. The reversal of 51141563264 is 46236514115.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51141563261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 672119 + ... + 744329.

It is an arithmetic number, because the mean of its divisors is an integer number (1740128670).

Almost surely, 2^51141563264 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 51141563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55684117440).

51141563264 is an abundant number, since it is smaller than the sum of its proper divisors (60226671616).

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

51141563264 is a wasteful number, since it uses less digits than its factorization.

51141563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72739 (or 72727 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The spelling of 51141563264 in words is "fifty-one billion, one hundred forty-one million, five hundred sixty-three thousand, two hundred sixty-four".