20970115994880 has 1728 divisors, whose sum is σ = 84570691645440. Its totient is φ = 4753256546304.

The previous prime is 20970115994843. The next prime is 20970115994903. The reversal of 20970115994880 is 8849951107902.

20970115994880 is a `hidden beast` number, since 2 + 0 + 97 + 0 + 11 + 59 + 9 + 488 + 0 = 666.

20970115994880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44903888407 + ... + 44903888873.

It is an arithmetic number, because the mean of its divisors is an integer number (48941372480).

Almost surely, 2^{20970115994880} is an apocalyptic number.

20970115994880 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 20970115994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42285345822720).

20970115994880 is an abundant number, since it is smaller than the sum of its proper divisors (63600575650560).

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

20970115994880 is a wasteful number, since it uses less digits than its factorization.

20970115994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 20970115994880 in words is "twenty trillion, nine hundred seventy billion, one hundred fifteen million, nine hundred ninety-four thousand, eight hundred eighty".