20309671872000 has 960 divisors, whose sum is σ = 83718424677888. Its totient is φ = 4635740160000.

The previous prime is 20309671871999. The next prime is 20309671872023. The reversal of 20309671872000 is 27817690302.

20309671872000 is a `hidden beast` number, since 2 + 0 + 309 + 67 + 1 + 87 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3269948895 + ... + 3269955105.

Almost surely, 2^{20309671872000} is an apocalyptic number.

20309671872000 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 20309671872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41859212338944).

20309671872000 is an abundant number, since it is smaller than the sum of its proper divisors (63408752805888).

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

20309671872000 is an equidigital number, since it uses as much as digits as its factorization.

20309671872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7039 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 20309671872000 in words is "twenty trillion, three hundred nine billion, six hundred seventy-one million, eight hundred seventy-two thousand".