20487681709992 has 512 divisors, whose sum is σ = 69809817600000. Its totient is φ = 5436645267456.

The previous prime is 20487681709961. The next prime is 20487681710009. The reversal of 20487681709992 is 29990718678402.

20487681709992 is a `hidden beast` number, since 204 + 87 + 6 + 8 + 170 + 99 + 92 = 666.

20487681709992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (72) 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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 20487681709992.

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, 2264077884 + ... + 2264086932.

It is an arithmetic number, because the mean of its divisors is an integer number (136347300000).

Almost surely, 2^{20487681709992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20487681709992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34904908800000).

20487681709992 is an abundant number, since it is smaller than the sum of its proper divisors (49322135890008).

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

20487681709992 is a wasteful number, since it uses less digits than its factorization.

20487681709992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10630 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 20487681709992 in words is "twenty trillion, four hundred eighty-seven billion, six hundred eighty-one million, seven hundred nine thousand, nine hundred ninety-two".