12555955440 has 720 divisors, whose sum is σ = 52121092608. Its totient is φ = 2652300288.

The previous prime is 12555955427. The next prime is 12555955441. The reversal of 12555955440 is 4455955521.

12555955440 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 59 + 554 + 40 = 666.

12555955440 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 (720).

It is a super-2 number, since 2×12555955440² (a number of 21 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (12555955441) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 121902429 + ... + 121902531.

Almost surely, 2^12555955440 is an apocalyptic number.

12555955440 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 12555955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26060546304).

12555955440 is an abundant number, since it is smaller than the sum of its proper divisors (39565137168).

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

12555955440 is a wasteful number, since it uses less digits than its factorization.

12555955440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 12555955440 in words is "twelve billion, five hundred fifty-five million, nine hundred fifty-five thousand, four hundred forty".