12887351156736 has 1344 divisors, whose sum is σ = 47500110028800. Its totient is φ = 3350247505920.

The previous prime is 12887351156699. The next prime is 12887351156749. The reversal of 12887351156736 is 63765115378821.

12887351156736 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 7 + 35 + 1 + 1 + 567 + 36 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13327146525 + ... + 13327147491.

Almost surely, 2^{12887351156736} is an apocalyptic number.

12887351156736 is a gapful number since it is divisible by the number (16) 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 12887351156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23750055014400).

12887351156736 is an abundant number, since it is smaller than the sum of its proper divisors (34612758872064).

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

12887351156736 is an equidigital number, since it uses as much as digits as its factorization.

12887351156736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1027 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 12887351156736 in words is "twelve trillion, eight hundred eighty-seven billion, three hundred fifty-one million, one hundred fifty-six thousand, seven hundred thirty-six".