8509199040 has 672 divisors, whose sum is σ = 33131052864. Its totient is φ = 2070282240.

The previous prime is 8509199029. The next prime is 8509199063. The reversal of 8509199040 is 409919058.

8509199040 is a `hidden beast` number, since 8 + 509 + 19 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54198642 + ... + 54198798.

It is an arithmetic number, because the mean of its divisors is an integer number (49302162).

Almost surely, 2^8509199040 is an apocalyptic number.

8509199040 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 8509199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565526432).

8509199040 is an abundant number, since it is smaller than the sum of its proper divisors (24621853824).

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

8509199040 is a wasteful number, since it uses less digits than its factorization.

8509199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 8509199040 is about 92245.3198812818. The cubic root of 8509199040 is about 2041.5635072650.

The spelling of 8509199040 in words is "eight billion, five hundred nine million, one hundred ninety-nine thousand, forty".