126320803840 has 1024 divisors, whose sum is σ = 434858803200. Its totient is φ = 33973862400.

The previous prime is 126320803811. The next prime is 126320803877. The reversal of 126320803840 is 48308023621.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a self number, because there is not a number n which added to its sum of digits gives 126320803840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4074864625 + ... + 4074864655.

It is an arithmetic number, because the mean of its divisors is an integer number (424666800).

Almost surely, 2^126320803840 is an apocalyptic number.

126320803840 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 126320803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217429401600).

126320803840 is an abundant number, since it is smaller than the sum of its proper divisors (308537999360).

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

126320803840 is a wasteful number, since it uses less digits than its factorization.

126320803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 126320803840 in words is "one hundred twenty-six billion, three hundred twenty million, eight hundred three thousand, eight hundred forty".