8503380000 has 600 divisors, whose sum is σ = 32506453980. Its totient is φ = 2177280000.

The previous prime is 8503379939. The next prime is 8503380001. The reversal of 8503380000 is 833058.

It can be written as a sum of positive squares in 10 ways, for example, as 2804337936 + 5699042064 = 52956^2 + 75492^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (8503380001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 46979910 + ... + 46980090.

Almost surely, 2^8503380000 is an apocalyptic number.

8503380000 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 8503380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16253226990).

8503380000 is an abundant number, since it is smaller than the sum of its proper divisors (24003073980).

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

8503380000 is a wasteful number, since it uses less digits than its factorization.

8503380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8503380000 is about 92213.7733746971. The cubic root of 8503380000 is about 2041.0980248019.

The spelling of 8503380000 in words is "eight billion, five hundred three million, three hundred eighty thousand".