552004580160 has 1680 divisors, whose sum is σ = 2347176724992. Its totient is φ = 121977446400.

The previous prime is 552004580123. The next prime is 552004580173. The reversal of 552004580160 is 61085400255.

552004580160 is a `hidden beast` number, since 5 + 520 + 0 + 45 + 80 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3190777834 + ... + 3190778006.

Almost surely, 2^552004580160 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 552004580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173588362496).

552004580160 is an abundant number, since it is smaller than the sum of its proper divisors (1795172144832).

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

552004580160 is a wasteful number, since it uses less digits than its factorization.

552004580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 552004580160 in words is "five hundred fifty-two billion, four million, five hundred eighty thousand, one hundred sixty".