10086925184064 has 105 divisors (see below), whose sum is σ = 29901484061911. Its totient is φ = 3362232170880.

The previous prime is 10086925184027. The next prime is 10086925184107. The reversal of 10086925184064 is 46048152968001.

The square root of 10086925184064 is 3175992.

It is a perfect power (a square), and thus also a powerful number.

10086925184064 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 69 + 2 + 518 + 4 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10086925184064.

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 14 ways as a sum of consecutive naturals, for example, 228649369 + ... + 228693479.

Almost surely, 2^{10086925184064} is an apocalyptic number.

10086925184064 is the 3175992-nd square number.

It is an amenable number.

10086925184064 is an abundant number, since it is smaller than the sum of its proper divisors (19814558877847).

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

10086925184064 is an frugal number, since it uses more digits than its factorization.

10086925184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88246 (or 44116 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 10086925184064 in words is "ten trillion, eighty-six billion, nine hundred twenty-five million, one hundred eighty-four thousand, sixty-four".