553115990880 has 240 divisors, whose sum is σ = 1954011883824. Its totient is φ = 147348495360.

The previous prime is 553115990851. The next prime is 553115990929. The reversal of 553115990880 is 88099511355.

It is a happy number.

553115990880 is a `hidden beast` number, since 5 + 531 + 15 + 9 + 90 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 13107415 + ... + 13149545.

Almost surely, 2^553115990880 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 553115990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977005941912).

553115990880 is an abundant number, since it is smaller than the sum of its proper divisors (1400895892944).

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

553115990880 is a wasteful number, since it uses less digits than its factorization.

553115990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43171 (or 43154 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 553115990880 in words is "five hundred fifty-three billion, one hundred fifteen million, nine hundred ninety thousand, eight hundred eighty".