552905256960 has 832 divisors, whose sum is σ = 2274838594560. Its totient is φ = 124783165440.

The previous prime is 552905256949. The next prime is 552905256971. The reversal of 552905256960 is 69652509255.

552905256960 is a `hidden beast` number, since 5 + 5 + 29 + 0 + 52 + 569 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (552905256949) and next prime (552905256971).

It is a super-3 number, since 3×552905256960³ (a number of 36 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 552905256897 and 552905256906.

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, 321268900 + ... + 321270620.

Almost surely, 2^552905256960 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 552905256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137419297280).

552905256960 is an abundant number, since it is smaller than the sum of its proper divisors (1721933337600).

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

552905256960 is a wasteful number, since it uses less digits than its factorization.

552905256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 552905256960 in words is "five hundred fifty-two billion, nine hundred five million, two hundred fifty-six thousand, nine hundred sixty".