552864509568 has 384 divisors, whose sum is σ = 1872982425600. Its totient is φ = 153251481600.

The previous prime is 552864509551. The next prime is 552864509599. The reversal of 552864509568 is 865905468255.

552864509568 is a `hidden beast` number, since 5 + 5 + 2 + 8 + 64 + 5 + 0 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52354273 + ... + 52364831.

It is an arithmetic number, because the mean of its divisors is an integer number (4877558400).

Almost surely, 2^552864509568 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 552864509568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936491212800).

552864509568 is an abundant number, since it is smaller than the sum of its proper divisors (1320117916032).

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

552864509568 is a wasteful number, since it uses less digits than its factorization.

552864509568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10780 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 552864509568 in words is "five hundred fifty-two billion, eight hundred sixty-four million, five hundred nine thousand, five hundred sixty-eight".