10086543360 has 832 divisors, whose sum is σ = 40339036800. Its totient is φ = 2378170368.

The previous prime is 10086543359. The next prime is 10086543407. The reversal of 10086543360 is 6334568001.

10086543360 is a `hidden beast` number, since 1 + 0 + 0 + 86 + 543 + 36 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272609262 + ... + 272609298.

Almost surely, 2^10086543360 is an apocalyptic number.

10086543360 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 10086543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20169518400).

10086543360 is an abundant number, since it is smaller than the sum of its proper divisors (30252493440).

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

10086543360 is a wasteful number, since it uses less digits than its factorization.

10086543360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10086543360 in words is "ten billion, eighty-six million, five hundred forty-three thousand, three hundred sixty".