126663458400 has 504 divisors, whose sum is σ = 473580251424. Its totient is φ = 33051110400.

The previous prime is 126663458231. The next prime is 126663458429. The reversal of 126663458400 is 4854366621.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 27408090 + ... + 27412710.

It is an arithmetic number, because the mean of its divisors is an integer number (939643356).

Almost surely, 2^126663458400 is an apocalyptic number.

126663458400 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 126663458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236790125712).

126663458400 is an abundant number, since it is smaller than the sum of its proper divisors (346916793024).

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

126663458400 is an equidigital number, since it uses as much as digits as its factorization.

126663458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 126663458400 in words is "one hundred twenty-six billion, six hundred sixty-three million, four hundred fifty-eight thousand, four hundred".