20972148456192 has 288 divisors, whose sum is σ = 59584885355520. Its totient is φ = 6529480151040.

The previous prime is 20972148456191. The next prime is 20972148456209. The reversal of 20972148456192 is 29165484127902.

It is not an unprimeable number, because it can be changed into a prime (20972148456191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594650143 + ... + 594685409.

It is an arithmetic number, because the mean of its divisors is an integer number (206891963040).

Almost surely, 2^{20972148456192} 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 20972148456192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29792442677760).

20972148456192 is an abundant number, since it is smaller than the sum of its proper divisors (38612736899328).

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

20972148456192 is a wasteful number, since it uses less digits than its factorization.

20972148456192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35879 (or 35865 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 20972148456192 in words is "twenty trillion, nine hundred seventy-two billion, one hundred forty-eight million, four hundred fifty-six thousand, one hundred ninety-two".