20954841600 has 960 divisors, whose sum is σ = 91089884160. Its totient is φ = 4114022400.

The previous prime is 20954841569. The next prime is 20954841647. The reversal of 20954841600 is 614845902.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56179014 + ... + 56179386.

It is an arithmetic number, because the mean of its divisors is an integer number (94885296).

Almost surely, 2^20954841600 is an apocalyptic number.

20954841600 is a gapful number since it is divisible by the number (20) 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 20954841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45544942080).

20954841600 is an abundant number, since it is smaller than the sum of its proper divisors (70135042560).

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

20954841600 is a wasteful number, since it uses less digits than its factorization.

20954841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 20954841600 in words is "twenty billion, nine hundred fifty-four million, eight hundred forty-one thousand, six hundred".