553505216880 has 960 divisors, whose sum is σ = 2287453593600. Its totient is φ = 108071884800.

The previous prime is 553505216843. The next prime is 553505216897. The reversal of 553505216880 is 88612505355.

It is a super-2 number, since 2×553505216880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 536861965 + ... + 536862995.

It is an arithmetic number, because the mean of its divisors is an integer number (2382764160).

Almost surely, 2^553505216880 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 553505216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143726796800).

553505216880 is an abundant number, since it is smaller than the sum of its proper divisors (1733948376720).

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

553505216880 is a wasteful number, since it uses less digits than its factorization.

553505216880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

The spelling of 553505216880 in words is "five hundred fifty-three billion, five hundred five million, two hundred sixteen thousand, eight hundred eighty".