126666203520 has 256 divisors, whose sum is σ = 422908646400. Its totient is φ = 32185933824.

The previous prime is 126666203513. The next prime is 126666203569. The reversal of 126666203520 is 25302666621.

It is a super-2 number, since 2×126666203520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11873709 + ... + 11884371.

It is an arithmetic number, because the mean of its divisors is an integer number (1651986900).

Almost surely, 2^126666203520 is an apocalyptic number.

126666203520 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 126666203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211454323200).

126666203520 is an abundant number, since it is smaller than the sum of its proper divisors (296242442880).

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

126666203520 is a wasteful number, since it uses less digits than its factorization.

126666203520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 126666203520 in words is "one hundred twenty-six billion, six hundred sixty-six million, two hundred three thousand, five hundred twenty".