126118325760 has 640 divisors, whose sum is σ = 477573719040. Its totient is φ = 27794866176.

The previous prime is 126118325743. The next prime is 126118325771. The reversal of 126118325760 is 67523811621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205739214 + ... + 205739826.

It is an arithmetic number, because the mean of its divisors is an integer number (746208936).

Almost surely, 2^126118325760 is an apocalyptic number.

126118325760 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 126118325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238786859520).

126118325760 is an abundant number, since it is smaller than the sum of its proper divisors (351455393280).

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

126118325760 is an equidigital number, since it uses as much as digits as its factorization.

126118325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 126118325760 in words is "one hundred twenty-six billion, one hundred eighteen million, three hundred twenty-five thousand, seven hundred sixty".