2685587345664 has 72 divisors (see below), whose sum is σ = 7148129304960. Its totient is φ = 895126837248.

The previous prime is 2685587345663. The next prime is 2685587345671. The reversal of 2685587345664 is 4665437855862.

It is not an unprimeable number, because it can be changed into a prime (2685587345663) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10377654 + ... + 10633290.

It is an arithmetic number, because the mean of its divisors is an integer number (99279573680).

Almost surely, 2^{2685587345664} is an apocalyptic number.

2685587345664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2685587345664 is an abundant number, since it is smaller than the sum of its proper divisors (4462541959296).

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

2685587345664 is a wasteful number, since it uses less digits than its factorization.

2685587345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269335 (or 269321 counting only the distinct ones).

The product of its digits is 1161216000, while the sum is 69.

The spelling of 2685587345664 in words is "two trillion, six hundred eighty-five billion, five hundred eighty-seven million, three hundred forty-five thousand, six hundred sixty-four".