52967455200 has 720 divisors, whose sum is σ = 221869549440. Its totient is φ = 12161664000.

The previous prime is 52967455187. The next prime is 52967455223. The reversal of 52967455200 is 255476925.

52967455200 is a `hidden beast` number, since 5 + 2 + 96 + 7 + 4 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 13541245 + ... + 13545155.

It is an arithmetic number, because the mean of its divisors is an integer number (308152152).

Almost surely, 2^52967455200 is an apocalyptic number.

52967455200 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 52967455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110934774720).

52967455200 is an abundant number, since it is smaller than the sum of its proper divisors (168902094240).

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

52967455200 is a wasteful number, since it uses less digits than its factorization.

52967455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 52967455200 in words is "fifty-two billion, nine hundred sixty-seven million, four hundred fifty-five thousand, two hundred".