10085798546208 has 1728 divisors, whose sum is σ = 41728120963200. Its totient is φ = 2335158927360.

The previous prime is 10085798546143. The next prime is 10085798546261. The reversal of 10085798546208 is 80264589758001.

10085798546208 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 579 + 8 + 54 + 6 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×10085798546208² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2857974588 + ... + 2857978116.

It is an arithmetic number, because the mean of its divisors is an integer number (24148218150).

Almost surely, 2^{10085798546208} is an apocalyptic number.

10085798546208 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 10085798546208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20864060481600).

10085798546208 is an abundant number, since it is smaller than the sum of its proper divisors (31642322416992).

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

10085798546208 is a wasteful number, since it uses less digits than its factorization.

10085798546208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 10085798546208 in words is "ten trillion, eighty-five billion, seven hundred ninety-eight million, five hundred forty-six thousand, two hundred eight".