51123504768 has 192 divisors, whose sum is σ = 161331523200. Its totient is φ = 14295687168.

The previous prime is 51123504713. The next prime is 51123504797. The reversal of 51123504768 is 86740532115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×51123504768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855448 + ... + 913256.

It is an arithmetic number, because the mean of its divisors is an integer number (840268350).

Almost surely, 2^51123504768 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 51123504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80665761600).

51123504768 is an abundant number, since it is smaller than the sum of its proper divisors (110208018432).

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

51123504768 is a wasteful number, since it uses less digits than its factorization.

51123504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57887 (or 57868 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 51123504768 in words is "fifty-one billion, one hundred twenty-three million, five hundred four thousand, seven hundred sixty-eight".