5526480960000 has 4800 divisors, whose sum is σ = 28142314776576. Its totient is φ = 1045094400000.

The previous prime is 5526480959999. The next prime is 5526480960023. The reversal of 5526480960000 is 690846255.

5526480960000 is a `hidden beast` number, since 552 + 6 + 4 + 8 + 0 + 96 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 77837759965 + ... + 77837760035.

Almost surely, 2^{5526480960000} is an apocalyptic number.

5526480960000 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 5526480960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071157388288).

5526480960000 is an abundant number, since it is smaller than the sum of its proper divisors (22615833816576).

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

5526480960000 is an equidigital number, since it uses as much as digits as its factorization.

5526480960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5526480960000 in words is "five trillion, five hundred twenty-six billion, four hundred eighty million, nine hundred sixty thousand".