12885465600 has 1080 divisors, whose sum is σ = 57453807840. Its totient is φ = 2694021120.

The previous prime is 12885465587. The next prime is 12885465617. The reversal of 12885465600 is 656458821.

12885465600 is a `hidden beast` number, since 1 + 2 + 8 + 85 + 4 + 6 + 560 + 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 444326386 + ... + 444326414.

Almost surely, 2^12885465600 is an apocalyptic number.

12885465600 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 12885465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28726903920).

12885465600 is an abundant number, since it is smaller than the sum of its proper divisors (44568342240).

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

12885465600 is a wasteful number, since it uses less digits than its factorization.

12885465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 12885465600 in words is "twelve billion, eight hundred eighty-five million, four hundred sixty-five thousand, six hundred".