605345552280 has 768 divisors, whose sum is σ = 2429921894400. Its totient is φ = 132622479360.

The previous prime is 605345552213. The next prime is 605345552299. The reversal of 605345552280 is 82255543506.

605345552280 is a `hidden beast` number, since 6 + 0 + 5 + 3 + 45 + 5 + 522 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 229905844 + ... + 229908476.

It is an arithmetic number, because the mean of its divisors is an integer number (3163960800).

Almost surely, 2^605345552280 is an apocalyptic number.

605345552280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 605345552280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214960947200).

605345552280 is an abundant number, since it is smaller than the sum of its proper divisors (1824576342120).

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

605345552280 is a wasteful number, since it uses less digits than its factorization.

605345552280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

It can be divided in two parts, 605345 and 552280, that added together give a cube (1157625 = 105³).

The spelling of 605345552280 in words is "six hundred five billion, three hundred forty-five million, five hundred fifty-two thousand, two hundred eighty".