6006085835904 has 1280 divisors, whose sum is σ = 23045250048000. Its totient is φ = 1506939033600.

The previous prime is 6006085835861. The next prime is 6006085835921. The reversal of 6006085835904 is 4095385806006.

It is a happy number.

6006085835904 is a `hidden beast` number, since 6 + 0 + 0 + 6 + 0 + 8 + 583 + 59 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10980046959 + ... + 10980047505.

It is an arithmetic number, because the mean of its divisors is an integer number (18004101600).

Almost surely, 2^{6006085835904} is an apocalyptic number.

6006085835904 is a gapful number since it is divisible by the number (64) 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 6006085835904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11522625024000).

6006085835904 is an abundant number, since it is smaller than the sum of its proper divisors (17039164212096).

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

6006085835904 is an equidigital number, since it uses as much as digits as its factorization.

6006085835904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 6006085835904 in words is "six trillion, six billion, eighty-five million, eight hundred thirty-five thousand, nine hundred four".