8509380096 has 320 divisors, whose sum is σ = 26948275200. Its totient is φ = 2335703040.

The previous prime is 8509380067. The next prime is 8509380101. The reversal of 8509380096 is 6900839058.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42760605 + ... + 42760803.

It is an arithmetic number, because the mean of its divisors is an integer number (84213360).

Almost surely, 2^8509380096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8509380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13474137600).

8509380096 is an abundant number, since it is smaller than the sum of its proper divisors (18438895104).

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

8509380096 is a wasteful number, since it uses less digits than its factorization.

8509380096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 8509380096 is about 92246.3012591833. The cubic root of 8509380096 is about 2041.5779870728.

It can be divided in two parts, 850 and 9380096, that added together give a triangular number (9380946 = T₄₃₃₁).

The spelling of 8509380096 in words is "eight billion, five hundred nine million, three hundred eighty thousand, ninety-six".