20027609424000 has 2048 divisors, whose sum is σ = 79848198144000. Its totient is φ = 4916124057600.

The previous prime is 20027609423999. The next prime is 20027609424041. The reversal of 20027609424000 is 42490672002.

20027609424000 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 7 + 609 + 4 + 2 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×20027609424000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 101662991902 + ... + 101662992098.

It is an arithmetic number, because the mean of its divisors is an integer number (38988378000).

Almost surely, 2^{20027609424000} is an apocalyptic number.

20027609424000 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 20027609424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39924099072000).

20027609424000 is an abundant number, since it is smaller than the sum of its proper divisors (59820588720000).

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

20027609424000 is a wasteful number, since it uses less digits than its factorization.

20027609424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20027609424000 in words is "twenty trillion, twenty-seven billion, six hundred nine million, four hundred twenty-four thousand".