20009971296 has 768 divisors, whose sum is σ = 75014553600. Its totient is φ = 5058256896.

The previous prime is 20009971259. The next prime is 20009971301. The reversal of 20009971296 is 69217990002.

20009971296 is a `hidden beast` number, since 200 + 0 + 99 + 71 + 296 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177079336 + ... + 177079448.

It is an arithmetic number, because the mean of its divisors is an integer number (97675200).

Almost surely, 2^20009971296 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 20009971296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37507276800).

20009971296 is an abundant number, since it is smaller than the sum of its proper divisors (55004582304).

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

20009971296 is a wasteful number, since it uses less digits than its factorization.

20009971296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 20009971296 in words is "twenty billion, nine million, nine hundred seventy-one thousand, two hundred ninety-six".