552895580160 has 1440 divisors, whose sum is σ = 2492633183040. Its totient is φ = 114741411840.

The previous prime is 552895580137. The next prime is 552895580179. The reversal of 552895580160 is 61085598255.

552895580160 is a `hidden beast` number, since 5 + 5 + 2 + 89 + 558 + 0 + 1 + 6 + 0 = 666.

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

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 = 552895580097 and 552895580106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 702535287 + ... + 702536073.

It is an arithmetic number, because the mean of its divisors is an integer number (1730995266).

Almost surely, 2^552895580160 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 552895580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246316591520).

552895580160 is an abundant number, since it is smaller than the sum of its proper divisors (1939737602880).

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

552895580160 is a wasteful number, since it uses less digits than its factorization.

552895580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 54.

The spelling of 552895580160 in words is "five hundred fifty-two billion, eight hundred ninety-five million, five hundred eighty thousand, one hundred sixty".