8249811120 has 240 divisors, whose sum is σ = 29982580992. Its totient is φ = 2104185600.

The previous prime is 8249811091. The next prime is 8249811121. The reversal of 8249811120 is 211189428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8249811121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437895 + ... + 456345.

Almost surely, 2^8249811120 is an apocalyptic number.

8249811120 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 8249811120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991290496).

8249811120 is an abundant number, since it is smaller than the sum of its proper divisors (21732769872).

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

8249811120 is a wasteful number, since it uses less digits than its factorization.

8249811120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18502 (or 18484 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8249811120 is about 90828.4708667937. The cubic root of 8249811120 is about 2020.6045898012.

The spelling of 8249811120 in words is "eight billion, two hundred forty-nine million, eight hundred eleven thousand, one hundred twenty".