5580988454400 has 480 divisors, whose sum is σ = 18869488704000. Its totient is φ = 1453444792320.

The previous prime is 5580988454357. The next prime is 5580988454401. The reversal of 5580988454400 is 44548890855.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5580988454400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5580988454401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 900592102 + ... + 900598298.

It is an arithmetic number, because the mean of its divisors is an integer number (39311434800).

Almost surely, 2^{5580988454400} is an apocalyptic number.

5580988454400 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 5580988454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434744352000).

5580988454400 is an abundant number, since it is smaller than the sum of its proper divisors (13288500249600).

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

5580988454400 is a wasteful number, since it uses less digits than its factorization.

5580988454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 60.

The spelling of 5580988454400 in words is "five trillion, five hundred eighty billion, nine hundred eighty-eight million, four hundred fifty-four thousand, four hundred".