20638755072000 has 3072 divisors, whose sum is σ = 88862417280000. Its totient is φ = 4679899545600.

The previous prime is 20638755071981. The next prime is 20638755072007. The reversal of 20638755072000 is 27055783602.

20638755072000 is a `hidden beast` number, since 2 + 0 + 63 + 87 + 5 + 507 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is not an unprimeable number, because it can be changed into a prime (20638755072007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90125567886 + ... + 90125568114.

It is an arithmetic number, because the mean of its divisors is an integer number (28926568125).

Almost surely, 2^{20638755072000} is an apocalyptic number.

20638755072000 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 20638755072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44431208640000).

20638755072000 is an abundant number, since it is smaller than the sum of its proper divisors (68223662208000).

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

20638755072000 is a wasteful number, since it uses less digits than its factorization.

20638755072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 20638755072000 in words is "twenty trillion, six hundred thirty-eight billion, seven hundred fifty-five million, seventy-two thousand".