12758235820200 has 1920 divisors, whose sum is σ = 52252522291200. Its totient is φ = 2857026816000.

The previous prime is 12758235820193. The next prime is 12758235820201. The reversal of 12758235820200 is 202853285721.

12758235820200 is a `hidden beast` number, since 1 + 2 + 75 + 8 + 2 + 358 + 20 + 200 = 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 (12758235820201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 20219073885 + ... + 20219074515.

It is an arithmetic number, because the mean of its divisors is an integer number (27214855360).

Almost surely, 2^{12758235820200} is an apocalyptic number.

12758235820200 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 12758235820200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26126261145600).

12758235820200 is an abundant number, since it is smaller than the sum of its proper divisors (39494286471000).

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

12758235820200 is a wasteful number, since it uses less digits than its factorization.

12758235820200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12758235820200 in words is "twelve trillion, seven hundred fifty-eight billion, two hundred thirty-five million, eight hundred twenty thousand, two hundred".