20491494512000 has 1024 divisors, whose sum is σ = 57721912934400. Its totient is φ = 7204184064000.

The previous prime is 20491494511987. The next prime is 20491494512011. The reversal of 20491494512000 is 21549419402.

It is a super-2 number, since 2×20491494512000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18150127436 + ... + 18150128564.

It is an arithmetic number, because the mean of its divisors is an integer number (56369055600).

Almost surely, 2^{20491494512000} is an apocalyptic number.

20491494512000 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 20491494512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28860956467200).

20491494512000 is an abundant number, since it is smaller than the sum of its proper divisors (37230418422400).

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

20491494512000 is a wasteful number, since it uses less digits than its factorization.

20491494512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 20491494512000 in words is "twenty trillion, four hundred ninety-one billion, four hundred ninety-four million, five hundred twelve thousand".