12584354640 has 160 divisors (see below), whose sum is σ = 45831816576. Its totient is φ = 2816071680.

The previous prime is 12584354633. The next prime is 12584354677. The reversal of 12584354640 is 4645348521.

It is a junction number, because it is equal to n+sod(n) for n = 12584354592 and 12584354601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149019 + ... + 217658.

Almost surely, 2^12584354640 is an apocalyptic number.

12584354640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12584354640 is an abundant number, since it is smaller than the sum of its proper divisors (33247461936).

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

12584354640 is a wasteful number, since it uses less digits than its factorization.

12584354640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366717 (or 366711 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 12584354640 in words is "twelve billion, five hundred eighty-four million, three hundred fifty-four thousand, six hundred forty".