126361724676000 has 1536 divisors, whose sum is σ = 492733128416256. Its totient is φ = 27957657600000.

The previous prime is 126361724675929. The next prime is 126361724676067. The reversal of 126361724676000 is 676427163621.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26319873600 + ... + 26319878400.

It is an arithmetic number, because the mean of its divisors is an integer number (320789797146).

Almost surely, 2^{126361724676000} is an apocalyptic number.

126361724676000 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 126361724676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246366564208128).

126361724676000 is an abundant number, since it is smaller than the sum of its proper divisors (366371403740256).

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

126361724676000 is a wasteful number, since it uses less digits than its factorization.

126361724676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 126361724676000 in words is "one hundred twenty-six trillion, three hundred sixty-one billion, seven hundred twenty-four million, six hundred seventy-six thousand".