6085690490880 has 4608 divisors, whose sum is σ = 31327952947200. Its totient is φ = 1070176665600.

The previous prime is 6085690490833. The next prime is 6085690490923. The reversal of 6085690490880 is 880940965806.

6085690490880 is a `hidden beast` number, since 6 + 0 + 8 + 5 + 69 + 0 + 490 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 196312596465 + ... + 196312596495.

It is an arithmetic number, because the mean of its divisors is an integer number (6798600900).

Almost surely, 2^{6085690490880} is an apocalyptic number.

6085690490880 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 6085690490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663976473600).

6085690490880 is an abundant number, since it is smaller than the sum of its proper divisors (25242262456320).

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

6085690490880 is a wasteful number, since it uses less digits than its factorization.

6085690490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 6085690490880 in words is "six trillion, eighty-five billion, six hundred ninety million, four hundred ninety thousand, eight hundred eighty".