52768193560320 has 1152 divisors, whose sum is σ = 208124279193600. Its totient is φ = 11125613592576.

The previous prime is 52768193560289. The next prime is 52768193560321. The reversal of 52768193560320 is 2306539186725.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52768193560321) 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, 4728750901 + ... + 4728762059.

It is an arithmetic number, because the mean of its divisors is an integer number (180663436800).

Almost surely, 2^{52768193560320} 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 52768193560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104062139596800).

52768193560320 is an abundant number, since it is smaller than the sum of its proper divisors (155356085633280).

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

52768193560320 is a wasteful number, since it uses less digits than its factorization.

52768193560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11453 (or 11439 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 52768193560320 in words is "fifty-two trillion, seven hundred sixty-eight billion, one hundred ninety-three million, five hundred sixty thousand, three hundred twenty".