52805589120 has 256 divisors, whose sum is σ = 187472736000. Its totient is φ = 14047395840.

The previous prime is 52805589119. The next prime is 52805589157. The reversal of 52805589120 is 2198550825.

It is a happy number.

52805589120 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 558 + 91 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7582440 + ... + 7589400.

It is an arithmetic number, because the mean of its divisors is an integer number (732315375).

Almost surely, 2^52805589120 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 52805589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93736368000).

52805589120 is an abundant number, since it is smaller than the sum of its proper divisors (134667146880).

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

52805589120 is a wasteful number, since it uses less digits than its factorization.

52805589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7410 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 52805589120 in words is "fifty-two billion, eight hundred five million, five hundred eighty-nine thousand, one hundred twenty".