12611894400 has 864 divisors, whose sum is σ = 54452296080. Its totient is φ = 2874009600.

The previous prime is 12611894389. The next prime is 12611894401. The reversal of 12611894400 is 449811621.

12611894400 is a `hidden beast` number, since 12 + 61 + 189 + 4 + 400 = 666.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (12611894401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38102235 + ... + 38102565.

Almost surely, 2^12611894400 is an apocalyptic number.

12611894400 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 12611894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27226148040).

12611894400 is an abundant number, since it is smaller than the sum of its proper divisors (41840401680).

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

12611894400 is an equidigital number, since it uses as much as digits as its factorization.

12611894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12611894400 in words is "twelve billion, six hundred eleven million, eight hundred ninety-four thousand, four hundred".