20996760096 has 216 divisors, whose sum is σ = 64852976916. Its totient is φ = 6440878080.

The previous prime is 20996760091. The next prime is 20996760101. The reversal of 20996760096 is 69006769902.

It is a happy number.

20996760096 is a `hidden beast` number, since 20 + 9 + 9 + 6 + 7 + 600 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (20996760091) and next prime (20996760101).

It can be written as a sum of positive squares in 6 ways, for example, as 5562176400 + 15434583696 = 74580^2 + 124236^2 .

It is not an unprimeable number, because it can be changed into a prime (20996760091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31198416 + ... + 31199088.

Almost surely, 2^20996760096 is an apocalyptic number.

20996760096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20996760096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32426488458).

20996760096 is an abundant number, since it is smaller than the sum of its proper divisors (43856216820).

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

20996760096 is a wasteful number, since it uses less digits than its factorization.

20996760096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 20996760096 in words is "twenty billion, nine hundred ninety-six million, seven hundred sixty thousand, ninety-six".