52580653200 has 480 divisors, whose sum is σ = 208600041600. Its totient is φ = 12501319680.

The previous prime is 52580653199. The next prime is 52580653201. The reversal of 52580653200 is 235608525.

It is a happy number.

52580653200 is a `hidden beast` number, since 5 + 2 + 580 + 6 + 53 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52580653199) and next prime (52580653201).

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

It is not an unprimeable number, because it can be changed into a prime (52580653201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3480864 + ... + 3495936.

It is an arithmetic number, because the mean of its divisors is an integer number (434583420).

Almost surely, 2^52580653200 is an apocalyptic number.

52580653200 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 52580653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104300020800).

52580653200 is an abundant number, since it is smaller than the sum of its proper divisors (156019388400).

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

52580653200 is a wasteful number, since it uses less digits than its factorization.

52580653200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15136 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 52580653200 in words is "fifty-two billion, five hundred eighty million, six hundred fifty-three thousand, two hundred".