12896575211520 has 3840 divisors, whose sum is σ = 63531179712000. Its totient is φ = 2465865400320.

The previous prime is 12896575211503. The next prime is 12896575211557. The reversal of 12896575211520 is 2511257569821.

It is a happy number.

12896575211520 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 6 + 57 + 52 + 11 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 319 ways as a sum of consecutive naturals, for example, 40683202402 + ... + 40683202718.

It is an arithmetic number, because the mean of its divisors is an integer number (16544578050).

Almost surely, 2^{12896575211520} is an apocalyptic number.

12896575211520 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 12896575211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31765589856000).

12896575211520 is an abundant number, since it is smaller than the sum of its proper divisors (50634604500480).

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

12896575211520 is a wasteful number, since it uses less digits than its factorization.

12896575211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 12896575211520 in words is "twelve trillion, eight hundred ninety-six billion, five hundred seventy-five million, two hundred eleven thousand, five hundred twenty".