8503165440 has 480 divisors, whose sum is σ = 36723113856. Its totient is φ = 1766522880.

The previous prime is 8503165427. The next prime is 8503165441. The reversal of 8503165440 is 445613058.

It is a happy number.

8503165440 is a `hidden beast` number, since 8 + 50 + 3 + 165 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 8503165395 and 8503165404.

It is not an unprimeable number, because it can be changed into a prime (8503165441) 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, 1771684 + ... + 1776476.

Almost surely, 2^8503165440 is an apocalyptic number.

8503165440 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 8503165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361556928).

8503165440 is an abundant number, since it is smaller than the sum of its proper divisors (28219948416).

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

8503165440 is a wasteful number, since it uses less digits than its factorization.

8503165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8503165440 is about 92212.6099836676. The cubic root of 8503165440 is about 2041.0808574451.

Adding to 8503165440 its reverse (445613058), we get a palindrome (8948778498).

The spelling of 8503165440 in words is "eight billion, five hundred three million, one hundred sixty-five thousand, four hundred forty".