8254215200 has 288 divisors, whose sum is σ = 25666357248. Its totient is φ = 2517120000.

The previous prime is 8254215187. The next prime is 8254215257. The reversal of 8254215200 is 25124528.

It is a super-2 number, since 2×8254215200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2893775 + ... + 2896625.

It is an arithmetic number, because the mean of its divisors is an integer number (89119296).

Almost surely, 2^8254215200 is an apocalyptic number.

8254215200 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 8254215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833178624).

8254215200 is an abundant number, since it is smaller than the sum of its proper divisors (17412142048).

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

8254215200 is a wasteful number, since it uses less digits than its factorization.

8254215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 8254215200 is about 90852.7115720824. The cubic root of 8254215200 is about 2020.9640857570.

Adding to 8254215200 its reverse (25124528), we get a palindrome (8279339728).

The spelling of 8254215200 in words is "eight billion, two hundred fifty-four million, two hundred fifteen thousand, two hundred".