5625168120 has 896 divisors, whose sum is σ = 23797670400. Its totient is φ = 1175731200.

The previous prime is 5625168089. The next prime is 5625168151. The reversal of 5625168120 is 218615265.

5625168120 is a `hidden beast` number, since 5 + 62 + 516 + 81 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5625168089) and next prime (5625168151).

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 79227685 + ... + 79227755.

It is an arithmetic number, because the mean of its divisors is an integer number (26559900).

Almost surely, 2^5625168120 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 5625168120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11898835200).

5625168120 is an abundant number, since it is smaller than the sum of its proper divisors (18172502280).

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

5625168120 is a wasteful number, since it uses less digits than its factorization.

5625168120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5625168120 is about 75001.1207916255. The cubic root of 5625168120 is about 1778.4643701397.

The spelling of 5625168120 in words is "five billion, six hundred twenty-five million, one hundred sixty-eight thousand, one hundred twenty".