20961908352 has 960 divisors, whose sum is σ = 82393217280. Its totient is φ = 5269017600.

The previous prime is 20961908333. The next prime is 20961908353. The reversal of 20961908352 is 25380916902.

20961908352 is a `hidden beast` number, since 20 + 9 + 619 + 0 + 8 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20961908298 and 20961908307.

It is not an unprimeable number, because it can be changed into a prime (20961908353) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 676190577 + ... + 676190607.

It is an arithmetic number, because the mean of its divisors is an integer number (85826268).

Almost surely, 2^20961908352 is an apocalyptic number.

20961908352 is a gapful number since it is divisible by the number (22) 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 20961908352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41196608640).

20961908352 is an abundant number, since it is smaller than the sum of its proper divisors (61431308928).

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

20961908352 is an equidigital number, since it uses as much as digits as its factorization.

20961908352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 20961908352 in words is "twenty billion, nine hundred sixty-one million, nine hundred eight thousand, three hundred fifty-two".