126258775632000 has 3072 divisors, whose sum is σ = 529736702976000. Its totient is φ = 28517068800000.

The previous prime is 126258775631981. The next prime is 126258775632007. The reversal of 126258775632000 is 236577852621.

126258775632000 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 5 + 8 + 77 + 563 + 2 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (126258775632007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 324572687806 + ... + 324572688194.

It is an arithmetic number, because the mean of its divisors is an integer number (172440333000).

Almost surely, 2^{126258775632000} is an apocalyptic number.

126258775632000 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 126258775632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264868351488000).

126258775632000 is an abundant number, since it is smaller than the sum of its proper divisors (403477927344000).

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

126258775632000 is a wasteful number, since it uses less digits than its factorization.

126258775632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 126258775632000 in words is "one hundred twenty-six trillion, two hundred fifty-eight billion, seven hundred seventy-five million, six hundred thirty-two thousand".