12887845920 has 576 divisors, whose sum is σ = 49297248000. Its totient is φ = 3051675648.

The previous prime is 12887845879. The next prime is 12887845931. The reversal of 12887845920 is 2954878821.

It is a super-3 number, since 3×12887845920³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29357061 + ... + 29357499.

It is an arithmetic number, because the mean of its divisors is an integer number (85585500).

Almost surely, 2^12887845920 is an apocalyptic number.

12887845920 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 12887845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648624000).

12887845920 is an abundant number, since it is smaller than the sum of its proper divisors (36409402080).

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

12887845920 is a wasteful number, since it uses less digits than its factorization.

12887845920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 12887845920 in words is "twelve billion, eight hundred eighty-seven million, eight hundred forty-five thousand, nine hundred twenty".