553108610880 has 2016 divisors, whose sum is σ = 2534598293760. Its totient is φ = 107760844800.

The previous prime is 553108610869. The next prime is 553108610927. The reversal of 553108610880 is 88016801355.

553108610880 is a `hidden beast` number, since 5 + 531 + 0 + 8 + 6 + 108 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5476322830 + ... + 5476322930.

Almost surely, 2^553108610880 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 553108610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267299146880).

553108610880 is an abundant number, since it is smaller than the sum of its proper divisors (1981489682880).

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

553108610880 is a wasteful number, since it uses less digits than its factorization.

553108610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 553108610880 in words is "five hundred fifty-three billion, one hundred eight million, six hundred ten thousand, eight hundred eighty".