617105020000 has 600 divisors, whose sum is σ = 1805961869712. Its totient is φ = 207446400000.

The previous prime is 617105019977. The next prime is 617105020009. The reversal of 617105020000 is 20501716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617105020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3409419910 + ... + 3409420090.

Almost surely, 2^617105020000 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 617105020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902980934856).

617105020000 is an abundant number, since it is smaller than the sum of its proper divisors (1188856849712).

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

617105020000 is an frugal number, since it uses more digits than its factorization.

617105020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

Adding to 617105020000 its reverse (20501716), we get a palindrome (617125521716).

The spelling of 617105020000 in words is "six hundred seventeen billion, one hundred five million, twenty thousand".