12615976800 has 864 divisors, whose sum is σ = 53868552192. Its totient is φ = 2821754880.

The previous prime is 12615976753. The next prime is 12615976819. The reversal of 12615976800 is 867951621.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99338337 + ... + 99338463.

Almost surely, 2^12615976800 is an apocalyptic number.

12615976800 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 12615976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26934276096).

12615976800 is an abundant number, since it is smaller than the sum of its proper divisors (41252575392).

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

12615976800 is a wasteful number, since it uses less digits than its factorization.

12615976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12615976800 in words is "twelve billion, six hundred fifteen million, nine hundred seventy-six thousand, eight hundred".