10085413536 has 144 divisors (see below), whose sum is σ = 32051230848. Its totient is φ = 2981606400.

The previous prime is 10085413493. The next prime is 10085413561. The reversal of 10085413536 is 63531458001.

10085413536 is a `hidden beast` number, since 1 + 0 + 0 + 85 + 41 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10085413536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91065 + ... + 168711.

It is an arithmetic number, because the mean of its divisors is an integer number (222577992).

Almost surely, 2^10085413536 is an apocalyptic number.

10085413536 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 10085413536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025615424).

10085413536 is an abundant number, since it is smaller than the sum of its proper divisors (21965817312).

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

10085413536 is a wasteful number, since it uses less digits than its factorization.

10085413536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77715 (or 77704 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10085413536 in words is "ten billion, eighty-five million, four hundred thirteen thousand, five hundred thirty-six".