12553380 has 192 divisors, whose sum is σ = 46287360. Its totient is φ = 2799360.

The previous prime is 12553379. The next prime is 12553381. The reversal of 12553380 is 8335521.

12553380 is a `hidden beast` number, since 125 + 533 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12553379) and next prime (12553381).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12553381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306160 + ... + 306200.

It is an arithmetic number, because the mean of its divisors is an integer number (241080).

Almost surely, 2^12553380 is an apocalyptic number.

12553380 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 12553380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143680).

12553380 is an abundant number, since it is smaller than the sum of its proper divisors (33733980).

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

12553380 is an equidigital number, since it uses as much as digits as its factorization.

12553380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 12553380 is about 3543.0749357020. The cubic root of 12553380 is about 232.4093298897.

The spelling of 12553380 in words is "twelve million, five hundred fifty-three thousand, three hundred eighty".