126550605600 has 432 divisors, whose sum is σ = 466540139520. Its totient is φ = 32240332800.

The previous prime is 126550605583. The next prime is 126550605637. The reversal of 126550605600 is 6506055621.

It is a happy number.

126550605600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17629212 + ... + 17636388.

Almost surely, 2^126550605600 is an apocalyptic number.

126550605600 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 126550605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233270069760).

126550605600 is an abundant number, since it is smaller than the sum of its proper divisors (339989533920).

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

126550605600 is a wasteful number, since it uses less digits than its factorization.

126550605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7313 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 126550605600 in words is "one hundred twenty-six billion, five hundred fifty million, six hundred five thousand, six hundred".