20256768000 has 720 divisors, whose sum is σ = 83994665664. Its totient is φ = 4600627200.

The previous prime is 20256767983. The next prime is 20256768017. The reversal of 20256768000 is 86765202.

It is an interprime number because it is at equal distance from previous prime (20256767983) and next prime (20256768017).

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 129023922 + ... + 129024078.

Almost surely, 2^20256768000 is an apocalyptic number.

20256768000 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 20256768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41997332832).

20256768000 is an abundant number, since it is smaller than the sum of its proper divisors (63737897664).

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

20256768000 is an equidigital number, since it uses as much as digits as its factorization.

20256768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20256768000 in words is "twenty billion, two hundred fifty-six million, seven hundred sixty-eight thousand".