5880561120 has 1152 divisors, whose sum is σ = 26629005312. Its totient is φ = 1194393600.

The previous prime is 5880561109. The next prime is 5880561131. The reversal of 5880561120 is 211650885.

5880561120 is a `hidden beast` number, since 5 + 8 + 80 + 561 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5880561109) and next prime (5880561131).

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 191 ways as a sum of consecutive naturals, for example, 143428300 + ... + 143428340.

It is an arithmetic number, because the mean of its divisors is an integer number (23115456).

Almost surely, 2^5880561120 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 5880561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314502656).

5880561120 is an abundant number, since it is smaller than the sum of its proper divisors (20748444192).

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

5880561120 is a wasteful number, since it uses less digits than its factorization.

5880561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 5880561120 is about 76684.8167501234. The cubic root of 5880561120 is about 1804.9821971167.

The spelling of 5880561120 in words is "five billion, eight hundred eighty million, five hundred sixty-one thousand, one hundred twenty".