12575033856 has 720 divisors, whose sum is σ = 47374655328. Its totient is φ = 3173990400.

The previous prime is 12575033837. The next prime is 12575033857. The reversal of 12575033856 is 65833057521.

12575033856 is a `hidden beast` number, since 12 + 57 + 503 + 3 + 85 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12575033857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151506391 + ... + 151506473.

Almost surely, 2^12575033856 is an apocalyptic number.

12575033856 is a gapful number since it is divisible by the number (16) 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 12575033856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23687327664).

12575033856 is an abundant number, since it is smaller than the sum of its proper divisors (34799621472).

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

12575033856 is a wasteful number, since it uses less digits than its factorization.

12575033856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 12575033856 in words is "twelve billion, five hundred seventy-five million, thirty-three thousand, eight hundred fifty-six".