3005252797860 has 192 divisors, whose sum is σ = 9406051200000. Its totient is φ = 796575596544.

The previous prime is 3005252797843. The next prime is 3005252797873. The reversal of 3005252797860 is 687972525003.

3005252797860 is a `hidden beast` number, since 3 + 0 + 0 + 52 + 527 + 9 + 7 + 8 + 60 = 666.

3005252797860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3005252797797 and 3005252797806.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130159237 + ... + 130182323.

It is an arithmetic number, because the mean of its divisors is an integer number (48989850000).

Almost surely, 2^{3005252797860} is an apocalyptic number.

3005252797860 is a gapful number since it is divisible by the number (30) 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 3005252797860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703025600000).

3005252797860 is an abundant number, since it is smaller than the sum of its proper divisors (6400798402140).

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

3005252797860 is a wasteful number, since it uses less digits than its factorization.

3005252797860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24547 (or 24539 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 3005252797860 in words is "three trillion, five billion, two hundred fifty-two million, seven hundred ninety-seven thousand, eight hundred sixty".