12896215680 has 128 divisors (see below), whose sum is σ = 41143438080. Its totient is φ = 3435917312.

The previous prime is 12896215663. The next prime is 12896215687. The reversal of 12896215680 is 8651269821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12896215687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852782 + ... + 2857298.

It is an arithmetic number, because the mean of its divisors is an integer number (321433110).

Almost surely, 2^12896215680 is an apocalyptic number.

12896215680 is a gapful number since it is divisible by the number (10) 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 12896215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20571719040).

12896215680 is an abundant number, since it is smaller than the sum of its proper divisors (28247222400).

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

12896215680 is a wasteful number, since it uses less digits than its factorization.

12896215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 12896215680 in words is "twelve billion, eight hundred ninety-six million, two hundred fifteen thousand, six hundred eighty".