12758506200 has 216 divisors, whose sum is σ = 47097441300. Its totient is φ = 3092918400.

The previous prime is 12758506193. The next prime is 12758506217. The reversal of 12758506200 is 260585721.

It is a happy number.

12758506200 is a `hidden beast` number, since 1 + 27 + 5 + 8 + 5 + 0 + 620 + 0 = 666.

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 53 ways as a sum of consecutive naturals, for example, 188511 + ... + 247089.

Almost surely, 2^12758506200 is an apocalyptic number.

12758506200 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 12758506200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23548720650).

12758506200 is an abundant number, since it is smaller than the sum of its proper divisors (34338935100).

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

12758506200 is a wasteful number, since it uses less digits than its factorization.

12758506200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58623 (or 58600 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12758506200 in words is "twelve billion, seven hundred fifty-eight million, five hundred six thousand, two hundred".