51975841736 has 192 divisors, whose sum is σ = 127779079680. Its totient is φ = 19621647360.

The previous prime is 51975841733. The next prime is 51975841793. The reversal of 51975841736 is 63714857915.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (51975841733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11529995 + ... + 11534501.

It is an arithmetic number, because the mean of its divisors is an integer number (665516040).

Almost surely, 2^51975841736 is an apocalyptic number.

51975841736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51975841736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63889539840).

51975841736 is an abundant number, since it is smaller than the sum of its proper divisors (75803237944).

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

51975841736 is a wasteful number, since it uses less digits than its factorization.

51975841736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4633 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 56.

The spelling of 51975841736 in words is "fifty-one billion, nine hundred seventy-five million, eight hundred forty-one thousand, seven hundred thirty-six".