5880894105600 has 2304 divisors, whose sum is σ = 24022462464000. Its totient is φ = 1404606873600.

The previous prime is 5880894105553. The next prime is 5880894105637. The reversal of 5880894105600 is 65014980885.

It is a happy number.

5880894105600 is a `hidden beast` number, since 588 + 0 + 8 + 9 + 4 + 1 + 0 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 46306252737 + ... + 46306252863.

It is an arithmetic number, because the mean of its divisors is an integer number (10426416000).

Almost surely, 2^{5880894105600} is an apocalyptic number.

5880894105600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5880894105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011231232000).

5880894105600 is an abundant number, since it is smaller than the sum of its proper divisors (18141568358400).

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

5880894105600 is a wasteful number, since it uses less digits than its factorization.

5880894105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 5880894105600 in words is "five trillion, eight hundred eighty billion, eight hundred ninety-four million, one hundred five thousand, six hundred".