5553449959680 has 1152 divisors, whose sum is σ = 24094745256960. Its totient is φ = 1182290411520.

The previous prime is 5553449959637. The next prime is 5553449959693. The reversal of 5553449959680 is 869599443555.

5553449959680 is a `hidden beast` number, since 5 + 5 + 5 + 3 + 4 + 499 + 59 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5553449959599 and 5553449959608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 398919120 + ... + 398933040.

It is an arithmetic number, because the mean of its divisors is an integer number (20915577480).

Almost surely, 2^{5553449959680} 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 5553449959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12047372628480).

5553449959680 is an abundant number, since it is smaller than the sum of its proper divisors (18541295297280).

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

5553449959680 is a wasteful number, since it uses less digits than its factorization.

5553449959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14072 (or 14052 counting only the distinct ones).

The product of its (nonzero) digits is 1049760000, while the sum is 72.

The spelling of 5553449959680 in words is "five trillion, five hundred fifty-three billion, four hundred forty-nine million, nine hundred fifty-nine thousand, six hundred eighty".