126261657600 has 720 divisors, whose sum is σ = 475885278000. Its totient is φ = 29444014080.

The previous prime is 126261657541. The next prime is 126261657637. The reversal of 126261657600 is 6756162621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6645350391 + ... + 6645350409.

It is an arithmetic number, because the mean of its divisors is an integer number (660951775).

Almost surely, 2^126261657600 is an apocalyptic number.

126261657600 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 126261657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237942639000).

126261657600 is an abundant number, since it is smaller than the sum of its proper divisors (349623620400).

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

126261657600 is an frugal number, since it uses more digits than its factorization.

126261657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 126261657600 in words is "one hundred twenty-six billion, two hundred sixty-one million, six hundred fifty-seven thousand, six hundred".