126703180800 has 1980 divisors, whose sum is σ = 577715066280. Its totient is φ = 27311800320.

The previous prime is 126703180789. The next prime is 126703180819. The reversal of 126703180800 is 8081307621.

126703180800 is a `hidden beast` number, since 1 + 267 + 0 + 318 + 0 + 80 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2946585579 + ... + 2946585621.

It is an arithmetic number, because the mean of its divisors is an integer number (291775286).

Almost surely, 2^126703180800 is an apocalyptic number.

126703180800 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 126703180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288857533140).

126703180800 is an abundant number, since it is smaller than the sum of its proper divisors (451011885480).

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

126703180800 is a wasteful number, since it uses less digits than its factorization.

126703180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 126703180800 in words is "one hundred twenty-six billion, seven hundred three million, one hundred eighty thousand, eight hundred".