126606758400 has 600 divisors, whose sum is σ = 493319816880. Its totient is φ = 31979888640.

The previous prime is 126606758321. The next prime is 126606758401. The reversal of 126606758400 is 4857606621.

126606758400 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 0 + 67 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 (126606758401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19695987 + ... + 19702413.

Almost surely, 2^126606758400 is an apocalyptic number.

126606758400 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 126606758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246659908440).

126606758400 is an abundant number, since it is smaller than the sum of its proper divisors (366713058480).

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

126606758400 is an equidigital number, since it uses as much as digits as its factorization.

126606758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 126606758400 in words is "one hundred twenty-six billion, six hundred six million, seven hundred fifty-eight thousand, four hundred".