617552552000 has 448 divisors, whose sum is σ = 1604486707200. Its totient is φ = 235284480000.

The previous prime is 617552551963. The next prime is 617552552033. The reversal of 617552552000 is 255255716.

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 63 ways as a sum of consecutive naturals, for example, 4089751925 + ... + 4089752075.

Almost surely, 2^617552552000 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 617552552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802243353600).

617552552000 is an abundant number, since it is smaller than the sum of its proper divisors (986934155200).

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

617552552000 is a wasteful number, since it uses less digits than its factorization.

617552552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 38.

The spelling of 617552552000 in words is "six hundred seventeen billion, five hundred fifty-two million, five hundred fifty-two thousand".