126448066800 has 360 divisors, whose sum is σ = 488894065920. Its totient is φ = 30001420800.

The previous prime is 126448066711. The next prime is 126448066817. The reversal of 126448066800 is 8660844621.

126448066800 is a `hidden beast` number, since 126 + 448 + 0 + 6 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×126448066800² (a number of 23 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1827231 + ... + 1895169.

It is an arithmetic number, because the mean of its divisors is an integer number (1358039072).

Almost surely, 2^126448066800 is an apocalyptic number.

126448066800 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 126448066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244447032960).

126448066800 is an abundant number, since it is smaller than the sum of its proper divisors (362445999120).

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

126448066800 is a wasteful number, since it uses less digits than its factorization.

126448066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68021 (or 68007 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 126448066800 in words is "one hundred twenty-six billion, four hundred forty-eight million, sixty-six thousand, eight hundred".