20768256000 has 312 divisors, whose sum is σ = 74883956784. Its totient is φ = 5536972800.

The previous prime is 20768255987. The next prime is 20768256059. The reversal of 20768256000 is 65286702.

20768256000 is a `hidden beast` number, since 20 + 7 + 6 + 8 + 25 + 600 + 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 23 ways as a sum of consecutive naturals, for example, 4605747 + ... + 4610253.

It is an arithmetic number, because the mean of its divisors is an integer number (240012682).

Almost surely, 2^20768256000 is an apocalyptic number.

20768256000 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 20768256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37441978392).

20768256000 is an abundant number, since it is smaller than the sum of its proper divisors (54115700784).

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

20768256000 is an equidigital number, since it uses as much as digits as its factorization.

20768256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4517 counting only the distinct ones).

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

The spelling of 20768256000 in words is "twenty billion, seven hundred sixty-eight million, two hundred fifty-six thousand".