12357878400 has 960 divisors, whose sum is σ = 53564280000. Its totient is φ = 2804336640.

The previous prime is 12357878353. The next prime is 12357878441. The reversal of 12357878400 is 487875321.

12357878400 is a `hidden beast` number, since 1 + 2 + 3 + 578 + 78 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88905531 + ... + 88905669.

It is an arithmetic number, because the mean of its divisors is an integer number (55796125).

Almost surely, 2^12357878400 is an apocalyptic number.

12357878400 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 12357878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26782140000).

12357878400 is an abundant number, since it is smaller than the sum of its proper divisors (41206401600).

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

12357878400 is an equidigital number, since it uses as much as digits as its factorization.

12357878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 12357878400 in words is "twelve billion, three hundred fifty-seven million, eight hundred seventy-eight thousand, four hundred".