126353813555200 has 288 divisors, whose sum is σ = 390584059145280. Its totient is φ = 39383005593600.

The previous prime is 126353813555171. The next prime is 126353813555257. The reversal of 126353813555200 is 2555318353621.

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, 12082587 + ... + 19967386.

It is an arithmetic number, because the mean of its divisors is an integer number (1356194649810).

Almost surely, 2^{126353813555200} is an apocalyptic number.

126353813555200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126353813555200 is an abundant number, since it is smaller than the sum of its proper divisors (264230245590080).

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

126353813555200 is a wasteful number, since it uses less digits than its factorization.

126353813555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32050023 (or 32049998 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 49.

The spelling of 126353813555200 in words is "one hundred twenty-six trillion, three hundred fifty-three billion, eight hundred thirteen million, five hundred fifty-five thousand, two hundred".