20327624612000 has 192 divisors, whose sum is σ = 50971137235200. Its totient is φ = 7965449856000.

The previous prime is 20327624611991. The next prime is 20327624612011. The reversal of 20327624612000 is 21642672302.

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 31 ways as a sum of consecutive naturals, for example, 44360051 + ... + 44815949.

It is an arithmetic number, because the mean of its divisors is an integer number (265474673100).

Almost surely, 2^{20327624612000} is an apocalyptic number.

20327624612000 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 20327624612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25485568617600).

20327624612000 is an abundant number, since it is smaller than the sum of its proper divisors (30643512623200).

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

20327624612000 is a wasteful number, since it uses less digits than its factorization.

20327624612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456152 (or 456134 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 20327624612000 in words is "twenty trillion, three hundred twenty-seven billion, six hundred twenty-four million, six hundred twelve thousand".