52667210880 has 640 divisors, whose sum is σ = 198540817200. Its totient is φ = 13284311040.

The previous prime is 52667210867. The next prime is 52667210881. The reversal of 52667210880 is 8801276625.

It can be written as a sum of positive squares in 8 ways, for example, as 37205780544 + 15461430336 = 192888^2 + 124344^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (52667210881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79677750 + ... + 79678410.

Almost surely, 2^52667210880 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 52667210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99270408600).

52667210880 is an abundant number, since it is smaller than the sum of its proper divisors (145873606320).

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

52667210880 is a wasteful number, since it uses less digits than its factorization.

52667210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 52667210880 in words is "fifty-two billion, six hundred sixty-seven million, two hundred ten thousand, eight hundred eighty".