10081065950208 has 528 divisors, whose sum is σ = 35392817341440. Its totient is φ = 2723836723200.

The previous prime is 10081065950149. The next prime is 10081065950239. The reversal of 10081065950208 is 80205956018001.

It is a happy number.

10081065950208 is a `hidden beast` number, since 1 + 0 + 0 + 81 + 0 + 65 + 9 + 502 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 47 ways as a sum of consecutive naturals, for example, 32590513 + ... + 32898383.

Almost surely, 2^{10081065950208} is an apocalyptic number.

10081065950208 is a gapful number since it is divisible by the number (18) 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 10081065950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696408670720).

10081065950208 is an abundant number, since it is smaller than the sum of its proper divisors (25311751391232).

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

10081065950208 is a wasteful number, since it uses less digits than its factorization.

10081065950208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307944 (or 307923 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 10081065950208 in words is "ten trillion, eighty-one billion, sixty-five million, nine hundred fifty thousand, two hundred eight".