126581510096640 has 864 divisors, whose sum is σ = 448663075660800. Its totient is φ = 32942081802240.

The previous prime is 126581510096623. The next prime is 126581510096663. The reversal of 126581510096640 is 46690015185621.

It is a happy number.

126581510096640 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 81 + 510 + 0 + 9 + 6 + 6 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 32070307147 + ... + 32070311093.

It is an arithmetic number, because the mean of its divisors is an integer number (519285967200).

Almost surely, 2^{126581510096640} is an apocalyptic number.

126581510096640 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 126581510096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224331537830400).

126581510096640 is an abundant number, since it is smaller than the sum of its proper divisors (322081565564160).

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

126581510096640 is a wasteful number, since it uses less digits than its factorization.

126581510096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 126581510096640 in words is "one hundred twenty-six trillion, five hundred eighty-one billion, five hundred ten million, ninety-six thousand, six hundred forty".