20949840000 has 800 divisors, whose sum is σ = 80679283740. Its totient is φ = 5391360000.

The previous prime is 20949839971. The next prime is 20949840001. The reversal of 20949840000 is 4894902.

It is a happy number.

20949840000 is a `hidden beast` number, since 209 + 49 + 8 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 4321221696 + 16628618304 = 65736^2 + 128952^2 .

It is a tau number, because it is divible by the number of its divisors (800).

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

It is not an unprimeable number, because it can be changed into a prime (20949840001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 343439970 + ... + 343440030.

Almost surely, 2^20949840000 is an apocalyptic number.

20949840000 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 20949840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40339641870).

20949840000 is an abundant number, since it is smaller than the sum of its proper divisors (59729443740).

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

20949840000 is an frugal number, since it uses more digits than its factorization.

20949840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20949840000 in words is "twenty billion, nine hundred forty-nine million, eight hundred forty thousand".