20958736032192 has 896 divisors, whose sum is σ = 69270215454720. Its totient is φ = 5463014768640.

The previous prime is 20958736032107. The next prime is 20958736032203. The reversal of 20958736032192 is 29123063785902.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34190433678 + ... + 34190434290.

It is an arithmetic number, because the mean of its divisors is an integer number (77310508320).

Almost surely, 2^{20958736032192} 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 20958736032192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34635107727360).

20958736032192 is an abundant number, since it is smaller than the sum of its proper divisors (48311479422528).

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

20958736032192 is a wasteful number, since it uses less digits than its factorization.

20958736032192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 20958736032192 in words is "twenty trillion, nine hundred fifty-eight billion, seven hundred thirty-six million, thirty-two thousand, one hundred ninety-two".