20638072729800 has 288 divisors, whose sum is σ = 73190526146400. Its totient is φ = 5197168604160.

The previous prime is 20638072729721. The next prime is 20638072729829. The reversal of 20638072729800 is 892727083602.

20638072729800 is a `hidden beast` number, since 206 + 3 + 80 + 7 + 272 + 98 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9740619 + ... + 11668581.

Almost surely, 2^{20638072729800} is an apocalyptic number.

20638072729800 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 20638072729800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36595263073200).

20638072729800 is an abundant number, since it is smaller than the sum of its proper divisors (52552453416600).

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

20638072729800 is a wasteful number, since it uses less digits than its factorization.

20638072729800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928317 (or 1928305 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 20638072729800 in words is "twenty trillion, six hundred thirty-eight billion, seventy-two million, seven hundred twenty-nine thousand, eight hundred".