8252368819200 has 1584 divisors, whose sum is σ = 33759124000000. Its totient is φ = 1973669068800.

The previous prime is 8252368819081. The next prime is 8252368819231. The reversal of 8252368819200 is 29188632528.

It is a happy number.

8252368819200 is a `hidden beast` number, since 8 + 2 + 523 + 6 + 88 + 19 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×8252368819200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6607180176 + ... + 6607181424.

Almost surely, 2^{8252368819200} is an apocalyptic number.

8252368819200 is a gapful number since it is divisible by the number (80) 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 8252368819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16879562000000).

8252368819200 is an abundant number, since it is smaller than the sum of its proper divisors (25506755180800).

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

8252368819200 is a wasteful number, since it uses less digits than its factorization.

8252368819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 8252368819200 in words is "eight trillion, two hundred fifty-two billion, three hundred sixty-eight million, eight hundred nineteen thousand, two hundred".