20807423262720 has 768 divisors, whose sum is σ = 76399180490880. Its totient is φ = 5227614830592.

The previous prime is 20807423262631. The next prime is 20807423262739. The reversal of 20807423262720 is 2726232470802.

20807423262720 is a `hidden beast` number, since 2 + 0 + 80 + 74 + 232 + 6 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272292382 + ... + 2272301538.

Almost surely, 2^{20807423262720} is an apocalyptic number.

20807423262720 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 20807423262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38199590245440).

20807423262720 is an abundant number, since it is smaller than the sum of its proper divisors (55591757228160).

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

20807423262720 is an equidigital number, since it uses as much as digits as its factorization.

20807423262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 20807423262720 in words is "twenty trillion, eight hundred seven billion, four hundred twenty-three million, two hundred sixty-two thousand, seven hundred twenty".