52209927671200 has 576 divisors, whose sum is σ = 143628917160960. Its totient is φ = 18401366016000.

The previous prime is 52209927671191. The next prime is 52209927671207. The reversal of 52209927671200 is 217672990225.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (52209927671207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13227747627 + ... + 13227751573.

It is an arithmetic number, because the mean of its divisors is an integer number (249355758960).

Almost surely, 2^{52209927671200} is an apocalyptic number.

52209927671200 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 52209927671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71814458580480).

52209927671200 is an abundant number, since it is smaller than the sum of its proper divisors (91418989489760).

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

52209927671200 is a wasteful number, since it uses less digits than its factorization.

52209927671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 52209927671200 in words is "fifty-two trillion, two hundred nine billion, nine hundred twenty-seven million, six hundred seventy-one thousand, two hundred".