5025168720 has 1200 divisors, whose sum is σ = 22629332880. Its totient is φ = 1021870080.

The previous prime is 5025168661. The next prime is 5025168739. The reversal of 5025168720 is 278615205.

It is a happy number.

5025168720 is a `hidden beast` number, since 502 + 51 + 6 + 87 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 56610576 + 4968558144 = 7524^2 + 70488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 173281666 + ... + 173281694.

Almost surely, 2^5025168720 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 5025168720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314666440).

5025168720 is an abundant number, since it is smaller than the sum of its proper divisors (17604164160).

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

5025168720 is a wasteful number, since it uses less digits than its factorization.

5025168720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5025168720 is about 70888.4244429230. The cubic root of 5025168720 is about 1712.8403395532.

The spelling of 5025168720 in words is "five billion, twenty-five million, one hundred sixty-eight thousand, seven hundred twenty".