552117171126600 has 96 divisors (see below), whose sum is σ = 1901736922788000. Its totient is φ = 147231245632320.

The previous prime is 552117171126589. The next prime is 552117171126637. The reversal of 552117171126600 is 6621171711255.

552117171126600 is a `hidden beast` number, since 5 + 5 + 2 + 1 + 1 + 7 + 1 + 7 + 11 + 26 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51121954890 + ... + 51121965689.

It is an arithmetic number, because the mean of its divisors is an integer number (19809759612375).

Almost surely, 2^{552117171126600} is an apocalyptic number.

552117171126600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

552117171126600 is an abundant number, since it is smaller than the sum of its proper divisors (1349619751661400).

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

552117171126600 is a wasteful number, since it uses less digits than its factorization.

552117171126600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102243920604 (or 102243920589 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 552117171126600 in words is "five hundred fifty-two trillion, one hundred seventeen billion, one hundred seventy-one million, one hundred twenty-six thousand, six hundred".