12556153040 has 40 divisors (see below), whose sum is σ = 30729536160. Its totient is φ = 4758120576.

The previous prime is 12556153009. The next prime is 12556153067. The reversal of 12556153040 is 4035165521.

12556153040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12556152988 and 12556153006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4128794 + ... + 4131833.

It is an arithmetic number, because the mean of its divisors is an integer number (768238404).

Almost surely, 2^12556153040 is an apocalyptic number.

12556153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12556153040 is an abundant number, since it is smaller than the sum of its proper divisors (18173383120).

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

12556153040 is a wasteful number, since it uses less digits than its factorization.

12556153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260659 (or 8260653 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 12556153040 in words is "twelve billion, five hundred fifty-six million, one hundred fifty-three thousand, forty".