20588373241920 has 672 divisors, whose sum is σ = 83942423285760. Its totient is φ = 4575896064000.

The previous prime is 20588373241841. The next prime is 20588373241973. The reversal of 20588373241920 is 2914237388502.

20588373241920 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 8 + 373 + 241 + 9 + 20 = 666.

It is a super-2 number, since 2×20588373241920² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18107835 + ... + 19211205.

Almost surely, 2^{20588373241920} is an apocalyptic number.

20588373241920 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 20588373241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41971211642880).

20588373241920 is an abundant number, since it is smaller than the sum of its proper divisors (63354050043840).

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

20588373241920 is a wasteful number, since it uses less digits than its factorization.

20588373241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103455 (or 1103442 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20588373241920 in words is "twenty trillion, five hundred eighty-eight billion, three hundred seventy-three million, two hundred forty-one thousand, nine hundred twenty".