126266204160 has 896 divisors, whose sum is σ = 483154329600. Its totient is φ = 31213486080.

The previous prime is 126266204159. The next prime is 126266204171. The reversal of 126266204160 is 61402662621.

126266204160 is a `hidden beast` number, since 1 + 2 + 6 + 26 + 620 + 4 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 994222017 + ... + 994222143.

Almost surely, 2^126266204160 is an apocalyptic number.

126266204160 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 126266204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241577164800).

126266204160 is an abundant number, since it is smaller than the sum of its proper divisors (356888125440).

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

126266204160 is a wasteful number, since it uses less digits than its factorization.

126266204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 126266204160 its reverse (61402662621), we get a palindrome (187668866781).

The spelling of 126266204160 in words is "one hundred twenty-six billion, two hundred sixty-six million, two hundred four thousand, one hundred sixty".