5165883648 has 144 divisors (see below), whose sum is σ = 15769868800. Its totient is φ = 1666344960.

The previous prime is 5165883643. The next prime is 5165883677. The reversal of 5165883648 is 8463885615.

5165883648 is a `hidden beast` number, since 5 + 16 + 588 + 3 + 6 + 48 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5165883594 and 5165883603.

It is not an unprimeable number, because it can be changed into a prime (5165883643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202218 + ... + 226326.

Almost surely, 2^5165883648 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 5165883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884934400).

5165883648 is an abundant number, since it is smaller than the sum of its proper divisors (10603985152).

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

5165883648 is a wasteful number, since it uses less digits than its factorization.

5165883648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24165 (or 24145 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 5165883648 is about 71874.0818932666. The cubic root of 5165883648 is about 1728.6810586988.

The spelling of 5165883648 in words is "five billion, one hundred sixty-five million, eight hundred eighty-three thousand, six hundred forty-eight".