553655826240 has 224 divisors, whose sum is σ = 1964436243840. Its totient is φ = 130945843200.

The previous prime is 553655826221. The next prime is 553655826257. The reversal of 553655826240 is 42628556355.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206425 + ... + 1072344.

It is an arithmetic number, because the mean of its divisors is an integer number (8769804660).

Almost surely, 2^553655826240 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 553655826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982218121920).

553655826240 is an abundant number, since it is smaller than the sum of its proper divisors (1410780417600).

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

553655826240 is a wasteful number, since it uses less digits than its factorization.

553655826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278841 (or 1278831 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 553655826240 in words is "five hundred fifty-three billion, six hundred fifty-five million, eight hundred twenty-six thousand, two hundred forty".