126746855827200 has 3456 divisors, whose sum is σ = 594218467584000. Its totient is φ = 25735200768000.

The previous prime is 126746855827157. The next prime is 126746855827237. The reversal of 126746855827200 is 2728558647621.

126746855827200 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 4 + 6 + 8 + 558 + 2 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 156671020396 + ... + 156671021204.

It is an arithmetic number, because the mean of its divisors is an integer number (171938214000).

Almost surely, 2^{126746855827200} is an apocalyptic number.

126746855827200 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 126746855827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297109233792000).

126746855827200 is an abundant number, since it is smaller than the sum of its proper divisors (467471611756800).

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

126746855827200 is a wasteful number, since it uses less digits than its factorization.

126746855827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 126746855827200 in words is "one hundred twenty-six trillion, seven hundred forty-six billion, eight hundred fifty-five million, eight hundred twenty-seven thousand, two hundred".