20589125356800 has 3240 divisors, whose sum is σ = 103015875256448. Its totient is φ = 3948068044800.

The previous prime is 20589125356757. The next prime is 20589125356801. The reversal of 20589125356800 is 865352198502.

It is a happy number.

20589125356800 is a `hidden beast` number, since 2 + 0 + 58 + 9 + 1 + 25 + 3 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20589125356801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5708100597 + ... + 5708104203.

Almost surely, 2^{20589125356800} is an apocalyptic number.

20589125356800 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 20589125356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51507937628224).

20589125356800 is an abundant number, since it is smaller than the sum of its proper divisors (82426749899648).

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

20589125356800 is a wasteful number, since it uses less digits than its factorization.

20589125356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 20589125356800 in words is "twenty trillion, five hundred eighty-nine billion, one hundred twenty-five million, three hundred fifty-six thousand, eight hundred".