12896573760 has 1344 divisors, whose sum is σ = 58580121600. Its totient is φ = 2633637888.

The previous prime is 12896573759. The next prime is 12896573771. The reversal of 12896573760 is 6737569821.

12896573760 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 6 + 573 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×12896573760² (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 junction number, because it is equal to n+sod(n) for n = 12896573697 and 12896573706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 299920299 + ... + 299920341.

It is an arithmetic number, because the mean of its divisors is an integer number (43586400).

Almost surely, 2^12896573760 is an apocalyptic number.

12896573760 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 12896573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29290060800).

12896573760 is an abundant number, since it is smaller than the sum of its proper divisors (45683547840).

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

12896573760 is a wasteful number, since it uses less digits than its factorization.

12896573760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 12896573760 in words is "twelve billion, eight hundred ninety-six million, five hundred seventy-three thousand, seven hundred sixty".