126081703552896 has 768 divisors, whose sum is σ = 471568775408640. Its totient is φ = 31423302991872.

The previous prime is 126081703552829. The next prime is 126081703552921. The reversal of 126081703552896 is 698255307180621.

126081703552896 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 8 + 1 + 70 + 3 + 552 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199809280 + ... + 200439296.

It is an arithmetic number, because the mean of its divisors is an integer number (614021842980).

Almost surely, 2^{126081703552896} is an apocalyptic number.

126081703552896 is a gapful number since it is divisible by the number (16) 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 126081703552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235784387704320).

126081703552896 is an abundant number, since it is smaller than the sum of its proper divisors (345487071855744).

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

126081703552896 is a wasteful number, since it uses less digits than its factorization.

126081703552896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630163 (or 630148 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 126081703552896 in words is "one hundred twenty-six trillion, eighty-one billion, seven hundred three million, five hundred fifty-two thousand, eight hundred ninety-six".