12596774400 has 960 divisors, whose sum is σ = 54556508160. Its totient is φ = 2786918400.

The previous prime is 12596774387. The next prime is 12596774467. The reversal of 12596774400 is 447769521.

12596774400 is a `hidden beast` number, since 12 + 596 + 7 + 7 + 4 + 40 + 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99187137 + ... + 99187263.

It is an arithmetic number, because the mean of its divisors is an integer number (56829696).

Almost surely, 2^12596774400 is an apocalyptic number.

12596774400 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 12596774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27278254080).

12596774400 is an abundant number, since it is smaller than the sum of its proper divisors (41959733760).

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

12596774400 is a wasteful number, since it uses less digits than its factorization.

12596774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12596774400 in words is "twelve billion, five hundred ninety-six million, seven hundred seventy-four thousand, four hundred".