552681028224 has 512 divisors, whose sum is σ = 1804233446400. Its totient is φ = 165480247296.

The previous prime is 552681028169. The next prime is 552681028231. The reversal of 552681028224 is 422820186255.

552681028224 is a `hidden beast` number, since 5 + 526 + 81 + 0 + 28 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 552681028224.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1010385519 + ... + 1010386065.

It is an arithmetic number, because the mean of its divisors is an integer number (3523893450).

Almost surely, 2^552681028224 is an apocalyptic number.

552681028224 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 552681028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902116723200).

552681028224 is an abundant number, since it is smaller than the sum of its proper divisors (1251552418176).

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

552681028224 is a wasteful number, since it uses less digits than its factorization.

552681028224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 552681028224 in words is "five hundred fifty-two billion, six hundred eighty-one million, twenty-eight thousand, two hundred twenty-four".