126270929043600 has 1440 divisors, whose sum is σ = 477439543246848. Its totient is φ = 28289010816000.

The previous prime is 126270929043563. The next prime is 126270929043641. The reversal of 126270929043600 is 6340929072621.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 208024594497 + ... + 208024595103.

Almost surely, 2^{126270929043600} is an apocalyptic number.

126270929043600 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 126270929043600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238719771623424).

126270929043600 is an abundant number, since it is smaller than the sum of its proper divisors (351168614203248).

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

126270929043600 is a wasteful number, since it uses less digits than its factorization.

126270929043600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 126270929043600 in words is "one hundred twenty-six trillion, two hundred seventy billion, nine hundred twenty-nine million, forty-three thousand, six hundred".