12862789632 has 960 divisors, whose sum is σ = 51372921600. Its totient is φ = 3105423360.

The previous prime is 12862789573. The next prime is 12862789673. The reversal of 12862789632 is 23698726821.

12862789632 is a `hidden beast` number, since 1 + 2 + 8 + 627 + 8 + 9 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 242694118 + ... + 242694170.

It is an arithmetic number, because the mean of its divisors is an integer number (53513460).

Almost surely, 2^12862789632 is an apocalyptic number.

12862789632 is a gapful number since it is divisible by the number (12) 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 12862789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25686460800).

12862789632 is an abundant number, since it is smaller than the sum of its proper divisors (38510131968).

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

12862789632 is a wasteful number, since it uses less digits than its factorization.

12862789632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 12862789632 in words is "twelve billion, eight hundred sixty-two million, seven hundred eighty-nine thousand, six hundred thirty-two".