2585768676480 has 768 divisors, whose sum is σ = 10450002326400. Its totient is φ = 605225779200.

The previous prime is 2585768676467. The next prime is 2585768676523. The reversal of 2585768676480 is 846768675852.

2585768676480 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 76 + 8 + 6 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2585768676399 and 2585768676408.

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 95 ways as a sum of consecutive naturals, for example, 49584820 + ... + 49636940.

Almost surely, 2^{2585768676480} is an apocalyptic number.

2585768676480 is a gapful number since it is divisible by the number (20) 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 2585768676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225001163200).

2585768676480 is an abundant number, since it is smaller than the sum of its proper divisors (7864233649920).

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

2585768676480 is a wasteful number, since it uses less digits than its factorization.

2585768676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52195 (or 52171 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 2585768676480 in words is "two trillion, five hundred eighty-five billion, seven hundred sixty-eight million, six hundred seventy-six thousand, four hundred eighty".