5172582240 has 960 divisors, whose sum is σ = 22691902464. Its totient is φ = 1083912192.

The previous prime is 5172582209. The next prime is 5172582251. The reversal of 5172582240 is 422852715.

It is a happy number.

5172582240 is a `hidden beast` number, since 5 + 1 + 72 + 582 + 2 + 4 + 0 = 666.

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 = 5172582195 and 5172582204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77202687 + ... + 77202753.

Almost surely, 2^5172582240 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 5172582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11345951232).

5172582240 is an abundant number, since it is smaller than the sum of its proper divisors (17519320224).

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

5172582240 is a wasteful number, since it uses less digits than its factorization.

5172582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5172582240 is about 71920.6662927979. Note that the first 3 decimals coincide. The cubic root of 5172582240 is about 1729.4279285061.

The spelling of 5172582240 in words is "five billion, one hundred seventy-two million, five hundred eighty-two thousand, two hundred forty".