12288506880 has 704 divisors, whose sum is σ = 46219622400. Its totient is φ = 2760376320.

The previous prime is 12288506873. The next prime is 12288506897. The reversal of 12288506880 is 8860588221.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155550681 + ... + 155550759.

Almost surely, 2^12288506880 is an apocalyptic number.

12288506880 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 12288506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109811200).

12288506880 is an abundant number, since it is smaller than the sum of its proper divisors (33931115520).

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

12288506880 is a wasteful number, since it uses less digits than its factorization.

12288506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 12288506880 in words is "twelve billion, two hundred eighty-eight million, five hundred six thousand, eight hundred eighty".