20852967438720 has 2048 divisors, whose sum is σ = 80406224640000. Its totient is φ = 5098627399680.

The previous prime is 20852967438691. The next prime is 20852967438763. The reversal of 20852967438720 is 2783476925802.

20852967438720 is a `hidden beast` number, since 2 + 0 + 8 + 529 + 6 + 7 + 4 + 3 + 87 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 150021348411 + ... + 150021348549.

It is an arithmetic number, because the mean of its divisors is an integer number (39260851875).

Almost surely, 2^{20852967438720} is an apocalyptic number.

20852967438720 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 20852967438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40203112320000).

20852967438720 is an abundant number, since it is smaller than the sum of its proper divisors (59553257201280).

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

20852967438720 is a wasteful number, since it uses less digits than its factorization.

20852967438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 20852967438720 in words is "twenty trillion, eight hundred fifty-two billion, nine hundred sixty-seven million, four hundred thirty-eight thousand, seven hundred twenty".