126757785600 has 936 divisors, whose sum is σ = 495328773120. Its totient is φ = 31770869760.

The previous prime is 126757785577. The next prime is 126757785613. The reversal of 126757785600 is 6587757621.

It is a happy number.

126757785600 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 5 + 7 + 78 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 998092737 + ... + 998092863.

Almost surely, 2^126757785600 is an apocalyptic number.

126757785600 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 126757785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247664386560).

126757785600 is an abundant number, since it is smaller than the sum of its proper divisors (368570987520).

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

126757785600 is a wasteful number, since it uses less digits than its factorization.

126757785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 126757785600 in words is "one hundred twenty-six billion, seven hundred fifty-seven million, seven hundred eighty-five thousand, six hundred".