552021122016 has 1728 divisors, whose sum is σ = 2208516710400. Its totient is φ = 129048256512.

The previous prime is 552021122011. The next prime is 552021122033. The reversal of 552021122016 is 610221120255.

552021122016 is a `hidden beast` number, since 5 + 520 + 2 + 1 + 122 + 0 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552021122011) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4346622945 + ... + 4346623071.

It is an arithmetic number, because the mean of its divisors is an integer number (1278076800).

Almost surely, 2^552021122016 is an apocalyptic number.

552021122016 is a gapful number since it is divisible by the number (56) 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 552021122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104258355200).

552021122016 is an abundant number, since it is smaller than the sum of its proper divisors (1656495588384).

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

552021122016 is a wasteful number, since it uses less digits than its factorization.

552021122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 552021122016 in words is "five hundred fifty-two billion, twenty-one million, one hundred twenty-two thousand, sixteen".