12891156480 has 520 divisors, whose sum is σ = 48762661200. Its totient is φ = 3248750592.

The previous prime is 12891156469. The next prime is 12891156497. The reversal of 12891156480 is 8465119821.

It is a happy number.

12891156480 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 1 + 1 + 564 + 80 = 666.

It is a super-3 number, since 3×12891156480³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31518516 + ... + 31518924.

Almost surely, 2^12891156480 is an apocalyptic number.

12891156480 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 12891156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24381330600).

12891156480 is an abundant number, since it is smaller than the sum of its proper divisors (35871504720).

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

12891156480 is an equidigital number, since it uses as much as digits as its factorization.

12891156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 12891156480 in words is "twelve billion, eight hundred ninety-one million, one hundred fifty-six thousand, four hundred eighty".