12671769600 has 924 divisors, whose sum is σ = 54377064784. Its totient is φ = 2866544640.

The previous prime is 12671769589. The next prime is 12671769601. The reversal of 12671769600 is 696717621.

It is a happy number.

12671769600 is a `hidden beast` number, since 1 + 26 + 7 + 17 + 6 + 9 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671769601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130636752 + ... + 130636848.

Almost surely, 2^12671769600 is an apocalyptic number.

12671769600 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 12671769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27188532392).

12671769600 is an abundant number, since it is smaller than the sum of its proper divisors (41705295184).

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

12671769600 is an frugal number, since it uses more digits than its factorization.

12671769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 12671769600 in words is "twelve billion, six hundred seventy-one million, seven hundred sixty-nine thousand, six hundred".