12828898800 has 480 divisors, whose sum is σ = 48618912000. Its totient is φ = 3203712000.

The previous prime is 12828898799. The next prime is 12828898861. The reversal of 12828898800 is 889882821.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20724891 + ... + 20725509.

It is an arithmetic number, because the mean of its divisors is an integer number (101289400).

Almost surely, 2^12828898800 is an apocalyptic number.

12828898800 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 12828898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24309456000).

12828898800 is an abundant number, since it is smaller than the sum of its proper divisors (35790013200).

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

12828898800 is a wasteful number, since it uses less digits than its factorization.

12828898800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 12828898800 in words is "twelve billion, eight hundred twenty-eight million, eight hundred ninety-eight thousand, eight hundred".