52786324684800 has 2160 divisors, whose sum is σ = 225750181063680. Its totient is φ = 11977060515840.

The previous prime is 52786324684789. The next prime is 52786324684801. The reversal of 52786324684800 is 848642368725.

52786324684800 is a `hidden beast` number, since 5 + 2 + 7 + 86 + 32 + 46 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52786324684801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166518374242 + ... + 166518374558.

Almost surely, 2^{52786324684800} is an apocalyptic number.

52786324684800 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 52786324684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112875090531840).

52786324684800 is an abundant number, since it is smaller than the sum of its proper divisors (172963856378880).

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

52786324684800 is an equidigital number, since it uses as much as digits as its factorization.

52786324684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 52786324684800 in words is "fifty-two trillion, seven hundred eighty-six billion, three hundred twenty-four million, six hundred eighty-four thousand, eight hundred".