5880812129280 has 1056 divisors, whose sum is σ = 23161247036928. Its totient is φ = 1418939596800.

The previous prime is 5880812129261. The next prime is 5880812129293. The reversal of 5880812129280 is 829212180885.

It is a happy number.

5880812129280 is a `hidden beast` number, since 588 + 0 + 8 + 12 + 1 + 29 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 3298267269 + ... + 3298269051.

It is an arithmetic number, because the mean of its divisors is an integer number (21932999088).

Almost surely, 2^{5880812129280} 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 5880812129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11580623518464).

5880812129280 is an abundant number, since it is smaller than the sum of its proper divisors (17280434907648).

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

5880812129280 is a wasteful number, since it uses less digits than its factorization.

5880812129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 5880812129280 in words is "five trillion, eight hundred eighty billion, eight hundred twelve million, one hundred twenty-nine thousand, two hundred eighty".