553817223072 has 576 divisors, whose sum is σ = 1727550849024. Its totient is φ = 167894415360.

The previous prime is 553817223061. The next prime is 553817223073. The reversal of 553817223072 is 270322718355.

553817223072 is a `hidden beast` number, since 5 + 538 + 17 + 2 + 2 + 30 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (553817223073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1803964743 + ... + 1803965049.

It is an arithmetic number, because the mean of its divisors is an integer number (2999220224).

Almost surely, 2^553817223072 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 553817223072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863775424512).

553817223072 is an abundant number, since it is smaller than the sum of its proper divisors (1173733625952).

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

553817223072 is a wasteful number, since it uses less digits than its factorization.

553817223072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 553817223072 in words is "five hundred fifty-three billion, eight hundred seventeen million, two hundred twenty-three thousand, seventy-two".