12735655720 has 32 divisors (see below), whose sum is σ = 29321629920. Its totient is φ = 4975790400.

The previous prime is 12735655717. The next prime is 12735655721. The reversal of 12735655720 is 2755653721.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (12735655721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3700506 + ... + 3703945.

It is an arithmetic number, because the mean of its divisors is an integer number (916300935).

Almost surely, 2^12735655720 is an apocalyptic number.

12735655720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12735655720 is an abundant number, since it is smaller than the sum of its proper divisors (16585974200).

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

12735655720 is a wasteful number, since it uses less digits than its factorization.

12735655720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404505 (or 7404501 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 43.

The spelling of 12735655720 in words is "twelve billion, seven hundred thirty-five million, six hundred fifty-five thousand, seven hundred twenty".