52306300800 has 1440 divisors, whose sum is σ = 224487897480. Its totient is φ = 11914076160.

The previous prime is 52306300763. The next prime is 52306300807. The reversal of 52306300800 is 800360325.

52306300800 is a `hidden beast` number, since 5 + 23 + 0 + 630 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52306300807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1216425579 + ... + 1216425621.

Almost surely, 2^52306300800 is an apocalyptic number.

52306300800 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 52306300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112243948740).

52306300800 is an abundant number, since it is smaller than the sum of its proper divisors (172181596680).

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

52306300800 is a wasteful number, since it uses less digits than its factorization.

52306300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 52306300800 in words is "fifty-two billion, three hundred six million, three hundred thousand, eight hundred".