10605255385000 has 40 divisors (see below), whose sum is σ = 24848113378770. Its totient is φ = 4242102152000.

The previous prime is 10605255384973. The next prime is 10605255385019. The reversal of 10605255385000 is 58355250601.

It can be written as a sum of positive squares in 5 ways, for example, as 371897507556 + 10233357877444 = 609834^2 + 3198962^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10605255385000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1060520539 + ... + 1060530538.

Almost surely, 2^{10605255385000} is an apocalyptic number.

10605255385000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605255385000 is an abundant number, since it is smaller than the sum of its proper divisors (14242857993770).

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

10605255385000 is an equidigital number, since it uses as much as digits as its factorization.

10605255385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121051103 (or 2121051084 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 10605255385000 in words is "ten trillion, six hundred five billion, two hundred fifty-five million, three hundred eighty-five thousand".