52810346304 has 224 divisors, whose sum is σ = 157809590400. Its totient is φ = 17531831808.

The previous prime is 52810346297. The next prime is 52810346321. The reversal of 52810346304 is 40364301825.

52810346304 is a `hidden beast` number, since 5 + 2 + 8 + 1 + 0 + 346 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 42969562 + ... + 42970790.

It is an arithmetic number, because the mean of its divisors is an integer number (704507100).

Almost surely, 2^52810346304 is an apocalyptic number.

52810346304 is a gapful number since it is divisible by the number (54) 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 52810346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78904795200).

52810346304 is an abundant number, since it is smaller than the sum of its proper divisors (104999244096).

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

52810346304 is an equidigital number, since it uses as much as digits as its factorization.

52810346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 52810346304 in words is "fifty-two billion, eight hundred ten million, three hundred forty-six thousand, three hundred four".