20577959673312 has 96 divisors (see below), whose sum is σ = 55857289872384. Its totient is φ = 6626425651200.

The previous prime is 20577959673301. The next prime is 20577959673329. The reversal of 20577959673312 is 21337695977502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4355553 + ... + 7754144.

It is an arithmetic number, because the mean of its divisors is an integer number (581846769504).

Almost surely, 2^{20577959673312} is an apocalyptic number.

It is an amenable number.

20577959673312 is an abundant number, since it is smaller than the sum of its proper divisors (35279330199072).

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

20577959673312 is a wasteful number, since it uses less digits than its factorization.

20577959673312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12110312 (or 12110304 counting only the distinct ones).

The product of its (nonzero) digits is 150028200, while the sum is 66.

The spelling of 20577959673312 in words is "twenty trillion, five hundred seventy-seven billion, nine hundred fifty-nine million, six hundred seventy-three thousand, three hundred twelve".