5613882120 has 1152 divisors, whose sum is σ = 26268883200. Its totient is φ = 1040117760.

The previous prime is 5613882119. The next prime is 5613882133. The reversal of 5613882120 is 212883165.

It is a happy number.

5613882120 is a `hidden beast` number, since 5 + 61 + 388 + 212 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 295467471 + ... + 295467489.

It is an arithmetic number, because the mean of its divisors is an integer number (22802850).

Almost surely, 2^5613882120 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 5613882120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13134441600).

5613882120 is an abundant number, since it is smaller than the sum of its proper divisors (20655001080).

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

5613882120 is a wasteful number, since it uses less digits than its factorization.

5613882120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5613882120 is about 74925.8441393889. The cubic root of 5613882120 is about 1777.2741723821.

The spelling of 5613882120 in words is "five billion, six hundred thirteen million, eight hundred eighty-two thousand, one hundred twenty".