5615516160 has 640 divisors, whose sum is σ = 21743251200. Its totient is φ = 1385496576.

The previous prime is 5615516147. The next prime is 5615516161. The reversal of 5615516160 is 616155165.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5615516160² = 63068043486442291200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5615516161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95178211 + ... + 95178269.

It is an arithmetic number, because the mean of its divisors is an integer number (33973830).

Almost surely, 2^5615516160 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 5615516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10871625600).

5615516160 is an abundant number, since it is smaller than the sum of its proper divisors (16127735040).

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

5615516160 is an frugal number, since it uses more digits than its factorization.

5615516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5615516160 is about 74936.7477276670. The cubic root of 5615516160 is about 1777.4465934923.

The spelling of 5615516160 in words is "five billion, six hundred fifteen million, five hundred sixteen thousand, one hundred sixty".