20970670484480 has 352 divisors, whose sum is σ = 51690327828480. Its totient is φ = 8161320960000.

The previous prime is 20970670484389. The next prime is 20970670484521. The reversal of 20970670484480 is 8448407607902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8001017570 + ... + 8001020190.

It is an arithmetic number, because the mean of its divisors is an integer number (146847522240).

Almost surely, 2^{20970670484480} is an apocalyptic number.

20970670484480 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 20970670484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25845163914240).

20970670484480 is an abundant number, since it is smaller than the sum of its proper divisors (30719657344000).

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

20970670484480 is a wasteful number, since it uses less digits than its factorization.

20970670484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 59.

The spelling of 20970670484480 in words is "twenty trillion, nine hundred seventy billion, six hundred seventy million, four hundred eighty-four thousand, four hundred eighty".