52162252800 has 624 divisors, whose sum is σ = 199691599872. Its totient is φ = 11766988800.

The previous prime is 52162252771. The next prime is 52162252843. The reversal of 52162252800 is 825226125.

It is a happy number.

It is a super-2 number, since 2×52162252800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273100705 + ... + 273100895.

Almost surely, 2^52162252800 is an apocalyptic number.

52162252800 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 52162252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99845799936).

52162252800 is an abundant number, since it is smaller than the sum of its proper divisors (147529347072).

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

52162252800 is a wasteful number, since it uses less digits than its factorization.

52162252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 52162252800 its reverse (825226125), we get a palindrome (52987478925).

The spelling of 52162252800 in words is "fifty-two billion, one hundred sixty-two million, two hundred fifty-two thousand, eight hundred".