12554528000 has 288 divisors, whose sum is σ = 36641299968. Its totient is φ = 4196352000.

The previous prime is 12554527987. The next prime is 12554528023. The reversal of 12554528000 is 82545521.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9183317 + ... + 9184683.

It is an arithmetic number, because the mean of its divisors is an integer number (127226736).

Almost surely, 2^12554528000 is an apocalyptic number.

12554528000 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 12554528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320649984).

12554528000 is an abundant number, since it is smaller than the sum of its proper divisors (24086771968).

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

12554528000 is an equidigital number, since it uses as much as digits as its factorization.

12554528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 12554528000 in words is "twelve billion, five hundred fifty-four million, five hundred twenty-eight thousand".