20802942720 has 288 divisors, whose sum is σ = 84368471040. Its totient is φ = 4754903040.

The previous prime is 20802942707. The next prime is 20802942757. The reversal of 20802942720 is 2724920802.

It is a happy number.

20802942720 is a `hidden beast` number, since 20 + 80 + 294 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198925 + ... + 284915.

It is an arithmetic number, because the mean of its divisors is an integer number (292946080).

Almost surely, 2^20802942720 is an apocalyptic number.

20802942720 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 20802942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184235520).

20802942720 is an abundant number, since it is smaller than the sum of its proper divisors (63565528320).

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

20802942720 is an equidigital number, since it uses as much as digits as its factorization.

20802942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86028 (or 86008 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20802942720 in words is "twenty billion, eight hundred two million, nine hundred forty-two thousand, seven hundred twenty".