8261219200 has 192 divisors, whose sum is σ = 22295135520. Its totient is φ = 3006259200.

The previous prime is 8261219179. The next prime is 8261219201. The reversal of 8261219200 is 29121628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8261219201) 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, 2952202 + ... + 2954998.

Almost surely, 2^8261219200 is an apocalyptic number.

8261219200 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 8261219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147567760).

8261219200 is an abundant number, since it is smaller than the sum of its proper divisors (14033916320).

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

8261219200 is a wasteful number, since it uses less digits than its factorization.

8261219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 8261219200 is about 90891.2493037696. The cubic root of 8261219200 is about 2021.5355445156.

The spelling of 8261219200 in words is "eight billion, two hundred sixty-one million, two hundred nineteen thousand, two hundred".