51126806352 has 80 divisors (see below), whose sum is σ = 137974740480. Its totient is φ = 16283008896.

The previous prime is 51126806293. The next prime is 51126806359. The reversal of 51126806352 is 25360862115.

It is a super-2 number, since 2×51126806352² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51126806352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51126806359) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 975799 + ... + 1026857.

It is an arithmetic number, because the mean of its divisors is an integer number (1724684256).

Almost surely, 2^51126806352 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 51126806352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68987370240).

51126806352 is an abundant number, since it is smaller than the sum of its proper divisors (86847934128).

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

51126806352 is a wasteful number, since it uses less digits than its factorization.

51126806352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52000 (or 51994 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 51126806352 in words is "fifty-one billion, one hundred twenty-six million, eight hundred six thousand, three hundred fifty-two".