20945491200 has 324 divisors, whose sum is σ = 75849242560. Its totient is φ = 5513564160.

The previous prime is 20945491163. The next prime is 20945491211. The reversal of 20945491200 is 219454902.

20945491200 is a `hidden beast` number, since 2 + 0 + 94 + 549 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4548099 + ... + 4552701.

Almost surely, 2^20945491200 is an apocalyptic number.

20945491200 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 20945491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37924621280).

20945491200 is an abundant number, since it is smaller than the sum of its proper divisors (54903751360).

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

20945491200 is a wasteful number, since it uses less digits than its factorization.

20945491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 20945491200 in words is "twenty billion, nine hundred forty-five million, four hundred ninety-one thousand, two hundred".