10185647089360 has 80 divisors (see below), whose sum is σ = 24139607109120. Its totient is φ = 3996061655040.

The previous prime is 10185647089351. The next prime is 10185647089403. The reversal of 10185647089360 is 6398074658101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10185647089295 and 10185647089304.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3549480 + ... + 5741959.

It is an arithmetic number, because the mean of its divisors is an integer number (301745088864).

Almost surely, 2^{10185647089360} is an apocalyptic number.

10185647089360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10185647089360 is an abundant number, since it is smaller than the sum of its proper divisors (13953960019760).

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

10185647089360 is a wasteful number, since it uses less digits than its factorization.

10185647089360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291716 (or 9291710 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 10185647089360 in words is "ten trillion, one hundred eighty-five billion, six hundred forty-seven million, eighty-nine thousand, three hundred sixty".