5880883466304 has 672 divisors, whose sum is σ = 21921001030656. Its totient is φ = 1518619207680.

The previous prime is 5880883466279. The next prime is 5880883466309. The reversal of 5880883466304 is 4036643880885.

5880883466304 is a `hidden beast` number, since 588 + 0 + 8 + 8 + 3 + 46 + 6 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5880883466309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207153999 + ... + 207182385.

It is an arithmetic number, because the mean of its divisors is an integer number (32620537248).

Almost surely, 2^{5880883466304} is an apocalyptic number.

5880883466304 is a gapful number since it is divisible by the number (54) 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 5880883466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10960500515328).

5880883466304 is an abundant number, since it is smaller than the sum of its proper divisors (16040117564352).

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

5880883466304 is a wasteful number, since it uses less digits than its factorization.

5880883466304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28605 (or 28583 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 5880883466304 in words is "five trillion, eight hundred eighty billion, eight hundred eighty-three million, four hundred sixty-six thousand, three hundred four".