553223948928 has 192 divisors, whose sum is σ = 1713623011200. Its totient is φ = 157675327488.

The previous prime is 553223948923. The next prime is 553223948987. The reversal of 553223948928 is 829849322355.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (553223948923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7659801 + ... + 7731687.

It is an arithmetic number, because the mean of its divisors is an integer number (8925119850).

Almost surely, 2^553223948928 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 553223948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856811505600).

553223948928 is an abundant number, since it is smaller than the sum of its proper divisors (1160399062272).

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

553223948928 is a wasteful number, since it uses less digits than its factorization.

553223948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72327 (or 72308 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 60.

The spelling of 553223948928 in words is "five hundred fifty-three billion, two hundred twenty-three million, nine hundred forty-eight thousand, nine hundred twenty-eight".