20172663744000 has 640 divisors, whose sum is σ = 68274779848704. Its totient is φ = 5283532800000.

The previous prime is 20172663743971. The next prime is 20172663744019. The reversal of 20172663744000 is 44736627102.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-5 number, since 5×20172663744000⁵ (a number of 68 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2462779905 + ... + 2462788095.

Almost surely, 2^{20172663744000} is an apocalyptic number.

20172663744000 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 20172663744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34137389924352).

20172663744000 is an abundant number, since it is smaller than the sum of its proper divisors (48102116104704).

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

20172663744000 is a wasteful number, since it uses less digits than its factorization.

20172663744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 20172663744000 in words is "twenty trillion, one hundred seventy-two billion, six hundred sixty-three million, seven hundred forty-four thousand".