5880179448000 has 4480 divisors, whose sum is σ = 27837273784320. Its totient is φ = 1204346880000.

The previous prime is 5880179447993. The next prime is 5880179448049. The reversal of 5880179448000 is 8449710885.

5880179448000 is a `hidden beast` number, since 58 + 80 + 1 + 79 + 448 + 0 + 0 + 0 = 666.

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 639 ways as a sum of consecutive naturals, for example, 66069431956 + ... + 66069432044.

It is an arithmetic number, because the mean of its divisors is an integer number (6213677184).

Almost surely, 2^{5880179448000} is an apocalyptic number.

5880179448000 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 5880179448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918636892160).

5880179448000 is an abundant number, since it is smaller than the sum of its proper divisors (21957094336320).

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

5880179448000 is a wasteful number, since it uses less digits than its factorization.

5880179448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 5880179448000 in words is "five trillion, eight hundred eighty billion, one hundred seventy-nine million, four hundred forty-eight thousand".