126089644032 has 576 divisors, whose sum is σ = 425852743680. Its totient is φ = 36926668800.

The previous prime is 126089644019. The next prime is 126089644039. The reversal of 126089644032 is 230446980621.

126089644032 is a `hidden beast` number, since 1 + 2 + 608 + 9 + 6 + 4 + 4 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (126089644039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169703053 + ... + 169703795.

It is an arithmetic number, because the mean of its divisors is an integer number (739327680).

Almost surely, 2^126089644032 is an apocalyptic number.

126089644032 is a gapful number since it is divisible by the number (12) 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 126089644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212926371840).

126089644032 is an abundant number, since it is smaller than the sum of its proper divisors (299763099648).

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

126089644032 is an equidigital number, since it uses as much as digits as its factorization.

126089644032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 126089644032 in words is "one hundred twenty-six billion, eighty-nine million, six hundred forty-four thousand, thirty-two".