20589608632320 has 1632 divisors, whose sum is σ = 93036485872512. Its totient is φ = 4087735123968.

The previous prime is 20589608632283. The next prime is 20589608632361. The reversal of 20589608632320 is 2323680698502.

20589608632320 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 9 + 608 + 6 + 3 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4562286384 + ... + 4562290896.

Almost surely, 2^{20589608632320} is an apocalyptic number.

20589608632320 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 20589608632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46518242936256).

20589608632320 is an abundant number, since it is smaller than the sum of its proper divisors (72446877240192).

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

20589608632320 is a wasteful number, since it uses less digits than its factorization.

20589608632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 20589608632320 in words is "twenty trillion, five hundred eighty-nine billion, six hundred eight million, six hundred thirty-two thousand, three hundred twenty".