8521352800 has 144 divisors (see below), whose sum is σ = 21858100992. Its totient is φ = 3237696000.

The previous prime is 8521352771. The next prime is 8521352809. The reversal of 8521352800 is 82531258.

It is a super-2 number, since 2×8521352800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8521352809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2776867 + ... + 2779933.

It is an arithmetic number, because the mean of its divisors is an integer number (151792368).

Almost surely, 2^8521352800 is an apocalyptic number.

8521352800 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 8521352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10929050496).

8521352800 is an abundant number, since it is smaller than the sum of its proper divisors (13336748192).

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

8521352800 is a wasteful number, since it uses less digits than its factorization.

8521352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 8521352800 is about 92311.1737548603. The cubic root of 8521352800 is about 2042.5350389276.

The spelling of 8521352800 in words is "eight billion, five hundred twenty-one million, three hundred fifty-two thousand, eight hundred".