52563682987200 has 2016 divisors, whose sum is σ = 244107586114560. Its totient is φ = 10767955968000.

The previous prime is 52563682987183. The next prime is 52563682987243. The reversal of 52563682987200 is 278928636525.

52563682987200 is a `hidden beast` number, since 5 + 2 + 563 + 68 + 2 + 9 + 8 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2597908284 + ... + 2597928516.

It is an arithmetic number, because the mean of its divisors is an integer number (121085112160).

Almost surely, 2^{52563682987200} is an apocalyptic number.

52563682987200 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 52563682987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122053793057280).

52563682987200 is an abundant number, since it is smaller than the sum of its proper divisors (191543903127360).

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

52563682987200 is a wasteful number, since it uses less digits than its factorization.

52563682987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20364 (or 20332 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 52563682987200 in words is "fifty-two trillion, five hundred sixty-three billion, six hundred eighty-two million, nine hundred eighty-seven thousand, two hundred".