12755750400 has 420 divisors, whose sum is σ = 47418038712. Its totient is φ = 3399045120.

The previous prime is 12755750393. The next prime is 12755750401. The reversal of 12755750400 is 405755721.

12755750400 is a `hidden beast` number, since 12 + 7 + 557 + 50 + 40 + 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 not an unprimeable number, because it can be changed into a prime (12755750401) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9330517 + ... + 9331883.

Almost surely, 2^12755750400 is an apocalyptic number.

12755750400 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 12755750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23709019356).

12755750400 is an abundant number, since it is smaller than the sum of its proper divisors (34662288312).

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

12755750400 is an frugal number, since it uses more digits than its factorization.

12755750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 12755750400 in words is "twelve billion, seven hundred fifty-five million, seven hundred fifty thousand, four hundred".