6006315435120 has 960 divisors, whose sum is σ = 27161761536000. Its totient is φ = 1148711362560.

The previous prime is 6006315435083. The next prime is 6006315435139. The reversal of 6006315435120 is 215345136006.

6006315435120 is a `hidden beast` number, since 6 + 0 + 0 + 63 + 1 + 543 + 51 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 251519341 + ... + 251543219.

It is an arithmetic number, because the mean of its divisors is an integer number (28293501600).

Almost surely, 2^{6006315435120} is an apocalyptic number.

6006315435120 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 6006315435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13580880768000).

6006315435120 is an abundant number, since it is smaller than the sum of its proper divisors (21155446100880).

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

6006315435120 is a wasteful number, since it uses less digits than its factorization.

6006315435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24278 (or 24269 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 6006315435120 in words is "six trillion, six billion, three hundred fifteen million, four hundred thirty-five thousand, one hundred twenty".