12771505488 has 240 divisors, whose sum is σ = 40052376960. Its totient is φ = 3432637440.

The previous prime is 12771505477. The next prime is 12771505499. The reversal of 12771505488 is 88450517721.

It is an interprime number because it is at equal distance from previous prime (12771505477) and next prime (12771505499).

It is a super-2 number, since 2×12771505488² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 11946618 + ... + 11947686.

It is an arithmetic number, because the mean of its divisors is an integer number (166884904).

Almost surely, 2^12771505488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12771505488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20026188480).

12771505488 is an abundant number, since it is smaller than the sum of its proper divisors (27280871472).

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

12771505488 is a wasteful number, since it uses less digits than its factorization.

12771505488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 48.

The spelling of 12771505488 in words is "twelve billion, seven hundred seventy-one million, five hundred five thousand, four hundred eighty-eight".