2685712533504 has 768 divisors, whose sum is σ = 9849033492480. Its totient is φ = 628162560000.

The previous prime is 2685712533479. The next prime is 2685712533521. The reversal of 2685712533504 is 4053352175862.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252150579 + ... + 252161229.

It is an arithmetic number, because the mean of its divisors is an integer number (12824262360).

Almost surely, 2^{2685712533504} is an apocalyptic number.

2685712533504 is a gapful number since it is divisible by the number (24) 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 2685712533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924516746240).

2685712533504 is an abundant number, since it is smaller than the sum of its proper divisors (7163320958976).

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

2685712533504 is a wasteful number, since it uses less digits than its factorization.

2685712533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10748 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 2685712533504 in words is "two trillion, six hundred eighty-five billion, seven hundred twelve million, five hundred thirty-three thousand, five hundred four".