10186285056 has 112 divisors (see below), whose sum is σ = 27448209264. Its totient is φ = 3359637504.

The previous prime is 10186285051. The next prime is 10186285079. The reversal of 10186285056 is 65058268101.

It is a junction number, because it is equal to n+sod(n) for n = 10186284999 and 10186285017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10186285051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2381736 + ... + 2386008.

It is an arithmetic number, because the mean of its divisors is an integer number (245073297).

Almost surely, 2^10186285056 is an apocalyptic number.

10186285056 is a gapful number since it is divisible by the number (16) 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 10186285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724104632).

10186285056 is an abundant number, since it is smaller than the sum of its proper divisors (17261924208).

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

10186285056 is an frugal number, since it uses more digits than its factorization.

10186285056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 10186285056 in words is "ten billion, one hundred eighty-six million, two hundred eighty-five thousand, fifty-six".