5480949196800 has 3456 divisors, whose sum is σ = 26279118028800. Its totient is φ = 1094860800000.

The previous prime is 5480949196757. The next prime is 5480949196813. The reversal of 5480949196800 is 86919490845.

5480949196800 is a `hidden beast` number, since 5 + 4 + 80 + 9 + 491 + 9 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36297676725 + ... + 36297676875.

Almost surely, 2^{5480949196800} is an apocalyptic number.

5480949196800 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 5480949196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139559014400).

5480949196800 is an abundant number, since it is smaller than the sum of its proper divisors (20798168832000).

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

5480949196800 is a wasteful number, since it uses less digits than its factorization.

5480949196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 5480949196800 in words is "five trillion, four hundred eighty billion, nine hundred forty-nine million, one hundred ninety-six thousand, eight hundred".