20536884072000 has 896 divisors, whose sum is σ = 76798995886080. Its totient is φ = 5372024371200.

The previous prime is 20536884071999. The next prime is 20536884072043. The reversal of 20536884072000 is 27048863502.

20536884072000 is a `hidden beast` number, since 2 + 0 + 5 + 36 + 8 + 8 + 407 + 200 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 2380531687 + ... + 2380540313.

Almost surely, 2^{20536884072000} is an apocalyptic number.

20536884072000 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 20536884072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38399497943040).

20536884072000 is an abundant number, since it is smaller than the sum of its proper divisors (56262111814080).

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

20536884072000 is a wasteful number, since it uses less digits than its factorization.

20536884072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20536884072000 in words is "twenty trillion, five hundred thirty-six billion, eight hundred eighty-four million, seventy-two thousand".