553797208224 has 576 divisors, whose sum is σ = 1880607456000. Its totient is φ = 157308383232.

The previous prime is 553797208213. The next prime is 553797208229. The reversal of 553797208224 is 422802797355.

553797208224 is a `hidden beast` number, since 5 + 537 + 9 + 7 + 2 + 0 + 82 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (553797208229) 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, 217259302 + ... + 217261850.

It is an arithmetic number, because the mean of its divisors is an integer number (3264943500).

Almost surely, 2^553797208224 is an apocalyptic number.

553797208224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553797208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940303728000).

553797208224 is an abundant number, since it is smaller than the sum of its proper divisors (1326810247776).

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

553797208224 is a wasteful number, since it uses less digits than its factorization.

553797208224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 553797208224 in words is "five hundred fifty-three billion, seven hundred ninety-seven million, two hundred eight thousand, two hundred twenty-four".