12579494400 has 600 divisors, whose sum is σ = 50836192704. Its totient is φ = 3046809600.

The previous prime is 12579494381. The next prime is 12579494419. The reversal of 12579494400 is 449497521.

12579494400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12579494381) and next prime (12579494419).

It is a tau number, because it is divible by the number of its divisors (600).

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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11404249 + ... + 11405351.

Almost surely, 2^12579494400 is an apocalyptic number.

12579494400 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 12579494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25418096352).

12579494400 is an abundant number, since it is smaller than the sum of its proper divisors (38256698304).

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

12579494400 is a wasteful number, since it uses less digits than its factorization.

12579494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12579494400 in words is "twelve billion, five hundred seventy-nine million, four hundred ninety-four thousand, four hundred".