12968398080 has 720 divisors, whose sum is σ = 51605636544. Its totient is φ = 3083304960.

The previous prime is 12968398067. The next prime is 12968398103. The reversal of 12968398080 is 8089386921.

It is a happy number.

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

It is a super-2 number, since 2×12968398080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94659772 + ... + 94659908.

Almost surely, 2^12968398080 is an apocalyptic number.

12968398080 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 12968398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25802818272).

12968398080 is an abundant number, since it is smaller than the sum of its proper divisors (38637238464).

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

12968398080 is a wasteful number, since it uses less digits than its factorization.

12968398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12968398080 in words is "twelve billion, nine hundred sixty-eight million, three hundred ninety-eight thousand, eighty".