20942870167296 has 576 divisors, whose sum is σ = 77406953702400. Its totient is φ = 5426085888000.

The previous prime is 20942870167253. The next prime is 20942870167313. The reversal of 20942870167296 is 69276107824902.

20942870167296 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 287 + 0 + 1 + 67 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 213372760 + ... + 213470888.

It is an arithmetic number, because the mean of its divisors is an integer number (134387072400).

Almost surely, 2^{20942870167296} 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 20942870167296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38703476851200).

20942870167296 is an abundant number, since it is smaller than the sum of its proper divisors (56464083535104).

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

20942870167296 is a wasteful number, since it uses less digits than its factorization.

20942870167296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98573 (or 98553 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 20942870167296 in words is "twenty trillion, nine hundred forty-two billion, eight hundred seventy million, one hundred sixty-seven thousand, two hundred ninety-six".