51108552768 has 336 divisors, whose sum is σ = 169423543296. Its totient is φ = 13311866880.

The previous prime is 51108552749. The next prime is 51108552779. The reversal of 51108552768 is 86725580115.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×51108552768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18850933 + ... + 18853643.

It is an arithmetic number, because the mean of its divisors is an integer number (504236736).

Almost surely, 2^51108552768 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 51108552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84711771648).

51108552768 is an abundant number, since it is smaller than the sum of its proper divisors (118314990528).

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

51108552768 is a wasteful number, since it uses less digits than its factorization.

51108552768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 48.

The spelling of 51108552768 in words is "fifty-one billion, one hundred eight million, five hundred fifty-two thousand, seven hundred sixty-eight".