12547828800 has 336 divisors, whose sum is σ = 49262263680. Its totient is φ = 3088558080.

The previous prime is 12547828789. The next prime is 12547828823. The reversal of 12547828800 is 882874521.

It is a happy number.

12547828800 is a `hidden beast` number, since 1 + 2 + 547 + 8 + 28 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550429 + ... + 572771.

It is an arithmetic number, because the mean of its divisors is an integer number (146613880).

Almost surely, 2^12547828800 is an apocalyptic number.

12547828800 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 12547828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24631131840).

12547828800 is an abundant number, since it is smaller than the sum of its proper divisors (36714434880).

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

12547828800 is a wasteful number, since it uses less digits than its factorization.

12547828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22387 (or 22366 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 12547828800 in words is "twelve billion, five hundred forty-seven million, eight hundred twenty-eight thousand, eight hundred".