126166329600 has 864 divisors, whose sum is σ = 468775996416. Its totient is φ = 29727129600.

The previous prime is 126166329599. The next prime is 126166329607. The reversal of 126166329600 is 6923661621.

It is a Cunningham number, because it is equal to 355199²-1.

It is not an unprimeable number, because it can be changed into a prime (126166329607) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 374380632 + ... + 374380968.

Almost surely, 2^126166329600 is an apocalyptic number.

126166329600 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 126166329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234387998208).

126166329600 is an abundant number, since it is smaller than the sum of its proper divisors (342609666816).

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

126166329600 is a wasteful number, since it uses less digits than its factorization.

126166329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 126166329600 in words is "one hundred twenty-six billion, one hundred sixty-six million, three hundred twenty-nine thousand, six hundred".