126549520400 has 120 divisors (see below), whose sum is σ = 310928920704. Its totient is φ = 49479206400.

The previous prime is 126549520379. The next prime is 126549520417. The reversal of 126549520400 is 4025945621.

It is a happy number.

It is a super-2 number, since 2×126549520400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 5734187 + ... + 5756213.

Almost surely, 2^126549520400 is an apocalyptic number.

126549520400 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 126549520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155464460352).

126549520400 is an abundant number, since it is smaller than the sum of its proper divisors (184379400304).

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

126549520400 is a wasteful number, since it uses less digits than its factorization.

126549520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22369 (or 22358 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 126549520400 in words is "one hundred twenty-six billion, five hundred forty-nine million, five hundred twenty thousand, four hundred".