552305295360 has 1440 divisors, whose sum is σ = 2467122144480. Its totient is φ = 116530348032.

The previous prime is 552305295331. The next prime is 552305295419. The reversal of 552305295360 is 63592503255.

552305295360 is a `hidden beast` number, since 5 + 5 + 230 + 52 + 9 + 5 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×552305295360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42485022714 + ... + 42485022726.

It is an arithmetic number, because the mean of its divisors is an integer number (1713279267).

Almost surely, 2^552305295360 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 552305295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233561072240).

552305295360 is an abundant number, since it is smaller than the sum of its proper divisors (1914816849120).

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

552305295360 is an frugal number, since it uses more digits than its factorization.

552305295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 552305295360 in words is "five hundred fifty-two billion, three hundred five million, two hundred ninety-five thousand, three hundred sixty".