12425356800 has 480 divisors, whose sum is σ = 46098016800. Its totient is φ = 3277946880.

The previous prime is 12425356789. The next prime is 12425356837. The reversal of 12425356800 is 865352421.

12425356800 is a `hidden beast` number, since 1 + 2 + 42 + 53 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54259086 + ... + 54259314.

It is an arithmetic number, because the mean of its divisors is an integer number (96037535).

Almost surely, 2^12425356800 is an apocalyptic number.

12425356800 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 12425356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23049008400).

12425356800 is an abundant number, since it is smaller than the sum of its proper divisors (33672660000).

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

12425356800 is a wasteful number, since it uses less digits than its factorization.

12425356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12425356800 in words is "twelve billion, four hundred twenty-five million, three hundred fifty-six thousand, eight hundred".