52041564250200 has 576 divisors, whose sum is σ = 208639510279200. Its totient is φ = 11888413286400.

The previous prime is 52041564250153. The next prime is 52041564250217. The reversal of 52041564250200 is 205246514025.

52041564250200 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 1 + 5 + 642 + 5 + 0 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 470138860 + ... + 470249540.

Almost surely, 2^{52041564250200} is an apocalyptic number.

52041564250200 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 52041564250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104319755139600).

52041564250200 is an abundant number, since it is smaller than the sum of its proper divisors (156597946029000).

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

52041564250200 is a wasteful number, since it uses less digits than its factorization.

52041564250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112497 (or 112475 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 52041564250200 in words is "fifty-two trillion, forty-one billion, five hundred sixty-four million, two hundred fifty thousand, two hundred".