6005360410920 has 1024 divisors, whose sum is σ = 24163235712000. Its totient is φ = 1312006864896.

The previous prime is 6005360410919. The next prime is 6005360410969. The reversal of 6005360410920 is 290140635006.

It is a happy number.

6005360410920 is a `hidden beast` number, since 60 + 0 + 536 + 0 + 41 + 0 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 297623872 + ... + 297644048.

It is an arithmetic number, because the mean of its divisors is an integer number (23596909875).

Almost surely, 2^{6005360410920} is an apocalyptic number.

6005360410920 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 6005360410920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12081617856000).

6005360410920 is an abundant number, since it is smaller than the sum of its proper divisors (18157875301080).

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

6005360410920 is a wasteful number, since it uses less digits than its factorization.

6005360410920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20299 (or 20289 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 6005360410920 in words is "six trillion, five billion, three hundred sixty million, four hundred ten thousand, nine hundred twenty".