10686483270144 has 560 divisors, whose sum is σ = 34970199755040. Its totient is φ = 3234029690880.

The previous prime is 10686483270091. The next prime is 10686483270163. The reversal of 10686483270144 is 44107238468601.

10686483270144 is a `hidden beast` number, since 1 + 0 + 6 + 86 + 483 + 2 + 70 + 14 + 4 = 666.

It is a super-2 number, since 2×10686483270144² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4553251179 + ... + 4553253525.

Almost surely, 2^{10686483270144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10686483270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17485099877520).

10686483270144 is an abundant number, since it is smaller than the sum of its proper divisors (24283716484896).

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

10686483270144 is an equidigital number, since it uses as much as digits as its factorization.

10686483270144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 10686483270144 in words is "ten trillion, six hundred eighty-six billion, four hundred eighty-three million, two hundred seventy thousand, one hundred forty-four".