12528929280 has 320 divisors, whose sum is σ = 48471540480. Its totient is φ = 2695102464.

The previous prime is 12528929269. The next prime is 12528929291. The reversal of 12528929280 is 8292982521.

It is an interprime number because it is at equal distance from previous prime (12528929269) and next prime (12528929291).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 907066 + ... + 920774.

It is an arithmetic number, because the mean of its divisors is an integer number (151473564).

Almost surely, 2^12528929280 is an apocalyptic number.

12528929280 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 12528929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235770240).

12528929280 is an abundant number, since it is smaller than the sum of its proper divisors (35942611200).

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

12528929280 is a wasteful number, since it uses less digits than its factorization.

12528929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13759 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 12528929280 in words is "twelve billion, five hundred twenty-eight million, nine hundred twenty-nine thousand, two hundred eighty".