21776781312000 has 4096 divisors, whose sum is σ = 101403637171200. Its totient is φ = 4586471424000.

The previous prime is 21776781311977. The next prime is 21776781312007. The reversal of 21776781312000 is 21318767712.

It is a tau number, because it is divible by the number of its divisors (4096).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21776781312007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1280987135992 + ... + 1280987136008.

Almost surely, 2^{21776781312000} is an apocalyptic number.

21776781312000 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 21776781312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50701818585600).

21776781312000 is an abundant number, since it is smaller than the sum of its proper divisors (79626855859200).

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

21776781312000 is an frugal number, since it uses more digits than its factorization.

21776781312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 21776781312000 in words is "twenty-one trillion, seven hundred seventy-six billion, seven hundred eighty-one million, three hundred twelve thousand".