21328064777712 has 320 divisors, whose sum is σ = 69903935861760. Its totient is φ = 5442320793600.

The previous prime is 21328064777647. The next prime is 21328064777713. The reversal of 21328064777712 is 21777746082312.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21328064777713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186845968 + ... + 186960080.

It is an arithmetic number, because the mean of its divisors is an integer number (218449799568).

Almost surely, 2^{21328064777712} is an apocalyptic number.

21328064777712 is a gapful number since it is divisible by the number (22) 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 21328064777712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34951967930880).

21328064777712 is an abundant number, since it is smaller than the sum of its proper divisors (48575871084048).

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

21328064777712 is a wasteful number, since it uses less digits than its factorization.

21328064777712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115032 (or 115026 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 57.

The spelling of 21328064777712 in words is "twenty-one trillion, three hundred twenty-eight billion, sixty-four million, seven hundred seventy-seven thousand, seven hundred twelve".