52679680000 has 140 divisors (see below), whose sum is σ = 131661815670. Its totient is φ = 21069824000.

The previous prime is 52679679989. The next prime is 52679680057. The reversal of 52679680000 is 8697625.

It can be written as a sum of positive squares in 5 ways, for example, as 5635805184 + 47043874816 = 75072^2 + 216896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5114856 + ... + 5125144.

Almost surely, 2^52679680000 is an apocalyptic number.

52679680000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52679680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65830907835).

52679680000 is an abundant number, since it is smaller than the sum of its proper divisors (78982135670).

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

52679680000 is an frugal number, since it uses more digits than its factorization.

52679680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 52679680000 in words is "fifty-two billion, six hundred seventy-nine million, six hundred eighty thousand".