5408980346880 has 1536 divisors, whose sum is σ = 22315378176000. Its totient is φ = 1229747650560.

The previous prime is 5408980346821. The next prime is 5408980346897. The reversal of 5408980346880 is 886430898045.

5408980346880 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 98 + 0 + 3 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3707319591 + ... + 3707321049.

It is an arithmetic number, because the mean of its divisors is an integer number (14528241000).

Almost surely, 2^{5408980346880} 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 5408980346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11157689088000).

5408980346880 is an abundant number, since it is smaller than the sum of its proper divisors (16906397829120).

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

5408980346880 is a wasteful number, since it uses less digits than its factorization.

5408980346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 5408980346880 in words is "five trillion, four hundred eight billion, nine hundred eighty million, three hundred forty-six thousand, eight hundred eighty".