51795434880 has 1024 divisors, whose sum is σ = 228114432000. Its totient is φ = 10839121920.

The previous prime is 51795434851. The next prime is 51795434881. The reversal of 51795434880 is 8843459715.

51795434880 is a `hidden beast` number, since 5 + 17 + 9 + 543 + 4 + 8 + 80 = 666.

51795434880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51795434880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51795434881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71245077 + ... + 71245803.

It is an arithmetic number, because the mean of its divisors is an integer number (222768000).

Almost surely, 2^51795434880 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 51795434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114057216000).

51795434880 is an abundant number, since it is smaller than the sum of its proper divisors (176318997120).

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

51795434880 is a wasteful number, since it uses less digits than its factorization.

51795434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 51795434880 in words is "fifty-one billion, seven hundred ninety-five million, four hundred thirty-four thousand, eight hundred eighty".