5169536640 has 160 divisors (see below), whose sum is σ = 18461533860. Its totient is φ = 1378529280.

The previous prime is 5169536639. The next prime is 5169536641. The reversal of 5169536640 is 466359615.

5169536640 is a `hidden beast` number, since 51 + 6 + 9 + 536 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5169536639) and next prime (5169536641).

It can be written as a sum of positive squares in 2 ways, for example, as 5091107904 + 78428736 = 71352^2 + 8856^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5169536641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1980 + ... + 101700.

Almost surely, 2^5169536640 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 5169536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230766930).

5169536640 is an abundant number, since it is smaller than the sum of its proper divisors (13291997220).

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

5169536640 is an equidigital number, since it uses as much as digits as its factorization.

5169536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99752 (or 99731 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5169536640 is about 71899.4898451999. The cubic root of 5169536640 is about 1729.0884346420.

The spelling of 5169536640 in words is "five billion, one hundred sixty-nine million, five hundred thirty-six thousand, six hundred forty".