20947393152 has 768 divisors, whose sum is σ = 76988620800. Its totient is φ = 5539995648.

The previous prime is 20947393151. The next prime is 20947393211. The reversal of 20947393152 is 25139374902.

20947393152 is a `hidden beast` number, since 20 + 9 + 473 + 9 + 3 + 152 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20947393098 and 20947393107.

It is not an unprimeable number, because it can be changed into a prime (20947393151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235363924 + ... + 235364012.

It is an arithmetic number, because the mean of its divisors is an integer number (100245600).

Almost surely, 2^20947393152 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 20947393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38494310400).

20947393152 is an abundant number, since it is smaller than the sum of its proper divisors (56041227648).

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

20947393152 is an equidigital number, since it uses as much as digits as its factorization.

20947393152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20947393152 in words is "twenty billion, nine hundred forty-seven million, three hundred ninety-three thousand, one hundred fifty-two".