12755628900 has 864 divisors, whose sum is σ = 50956738560. Its totient is φ = 2706048000.

The previous prime is 12755628817. The next prime is 12755628901. The reversal of 12755628900 is 982655721.

12755628900 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 562 + 89 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12755628901) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 216197071 + ... + 216197129.

Almost surely, 2^12755628900 is an apocalyptic number.

12755628900 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 12755628900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25478369280).

12755628900 is an abundant number, since it is smaller than the sum of its proper divisors (38201109660).

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

12755628900 is a wasteful number, since it uses less digits than its factorization.

12755628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12755628900 in words is "twelve billion, seven hundred fifty-five million, six hundred twenty-eight thousand, nine hundred".