8519040000 has 880 divisors, whose sum is σ = 34532071200. Its totient is φ = 2064384000.

The previous prime is 8519039993. The next prime is 8519040007. The reversal of 8519040000 is 409158.

It is an interprime number because it is at equal distance from previous prime (8519039993) and next prime (8519040007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8519040007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293759986 + ... + 293760014.

It is an arithmetic number, because the mean of its divisors is an integer number (39240990).

Almost surely, 2^8519040000 is an apocalyptic number.

8519040000 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 8519040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17266035600).

8519040000 is an abundant number, since it is smaller than the sum of its proper divisors (26013031200).

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

8519040000 is a wasteful number, since it uses less digits than its factorization.

8519040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8519040000 is about 92298.6457105412. The cubic root of 8519040000 is about 2042.3502324932.

Adding to 8519040000 its reverse (409158), we get a palindrome (8519449158).

The spelling of 8519040000 in words is "eight billion, five hundred nineteen million, forty thousand".