12891757633488 has 800 divisors, whose sum is σ = 40990447872000. Its totient is φ = 3899073024000.

The previous prime is 12891757633439. The next prime is 12891757633493. The reversal of 12891757633488 is 88433675719821.

12891757633488 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 1 + 7 + 576 + 3 + 3 + 48 + 8 = 666.

It is a super-2 number, since 2×12891757633488² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13008836673 + ... + 13008837663.

It is an arithmetic number, because the mean of its divisors is an integer number (51238059840).

Almost surely, 2^{12891757633488} is an apocalyptic number.

12891757633488 is a gapful number since it is divisible by the number (18) 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 12891757633488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20495223936000).

12891757633488 is an abundant number, since it is smaller than the sum of its proper divisors (28098690238512).

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

12891757633488 is a wasteful number, since it uses less digits than its factorization.

12891757633488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1298 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 12891757633488 in words is "twelve trillion, eight hundred ninety-one billion, seven hundred fifty-seven million, six hundred thirty-three thousand, four hundred eighty-eight".