126044107983360 has 1600 divisors, whose sum is σ = 522760048715520. Its totient is φ = 28431982264320.

The previous prime is 126044107983253. The next prime is 126044107983463. The reversal of 126044107983360 is 63389701440621.

126044107983360 is a `hidden beast` number, since 1 + 2 + 60 + 44 + 107 + 9 + 83 + 360 = 666.

126044107983360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 126044107983297 and 126044107983306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35595623190 + ... + 35595626730.

Almost surely, 2^{126044107983360} is an apocalyptic number.

126044107983360 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 126044107983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261380024357760).

126044107983360 is an abundant number, since it is smaller than the sum of its proper divisors (396715940732160).

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

126044107983360 is a wasteful number, since it uses less digits than its factorization.

126044107983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 126044107983360 in words is "one hundred twenty-six trillion, forty-four billion, one hundred seven million, nine hundred eighty-three thousand, three hundred sixty".