10085952009600 has 288 divisors, whose sum is σ = 35993562101640. Its totient is φ = 2689245388800.

The previous prime is 10085952009583. The next prime is 10085952009629. The reversal of 10085952009600 is 690025958001.

10085952009600 is a `hidden beast` number, since 10 + 0 + 8 + 5 + 9 + 5 + 20 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294059652 + ... + 294093948.

Almost surely, 2^{10085952009600} is an apocalyptic number.

10085952009600 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 10085952009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996781050820).

10085952009600 is an abundant number, since it is smaller than the sum of its proper divisors (25907610092040).

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

10085952009600 is a wasteful number, since it uses less digits than its factorization.

10085952009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44538 (or 44518 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10085952009600 in words is "ten trillion, eighty-five billion, nine hundred fifty-two million, nine thousand, six hundred".