52768059120 has 800 divisors, whose sum is σ = 224630765568. Its totient is φ = 11216848896.

The previous prime is 52768059119. The next prime is 52768059139. The reversal of 52768059120 is 2195086725.

52768059120 is a `hidden beast` number, since 52 + 7 + 6 + 8 + 0 + 591 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 38600677 + ... + 38602043.

Almost surely, 2^52768059120 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 52768059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112315382784).

52768059120 is an abundant number, since it is smaller than the sum of its proper divisors (171862706448).

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

52768059120 is a wasteful number, since it uses less digits than its factorization.

52768059120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 52768059120 in words is "fifty-two billion, seven hundred sixty-eight million, fifty-nine thousand, one hundred twenty".