4515319856160 has 144 divisors (see below), whose sum is σ = 15412806818136. Its totient is φ = 1203751010304.

The previous prime is 4515319856143. The next prime is 4515319856167. The reversal of 4515319856160 is 616589135154.

It is a happy number.

4515319856160 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 3 + 19 + 8 + 5 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2280450333456 + 2234869522704 = 1510116^2 + 1494948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4515319856160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4515319856097 and 4515319856106.

It is not an unprimeable number, because it can be changed into a prime (4515319856167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4775022 + ... + 5641938.

Almost surely, 2^{4515319856160} is an apocalyptic number.

4515319856160 is a gapful number since it is divisible by the number (40) 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 4515319856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706403409068).

4515319856160 is an abundant number, since it is smaller than the sum of its proper divisors (10897486961976).

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

4515319856160 is a wasteful number, since it uses less digits than its factorization.

4515319856160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870555 (or 870544 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 4515319856160 in words is "four trillion, five hundred fifteen billion, three hundred nineteen million, eight hundred fifty-six thousand, one hundred sixty".