10182816209160 has 1280 divisors, whose sum is σ = 41152532889600. Its totient is φ = 2210343303168.

The previous prime is 10182816209117. The next prime is 10182816209197. The reversal of 10182816209160 is 6190261828101.

It is a happy number.

10182816209160 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 2 + 8 + 1 + 620 + 9 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4751663049 + ... + 4751665191.

It is an arithmetic number, because the mean of its divisors is an integer number (32150416320).

Almost surely, 2^{10182816209160} is an apocalyptic number.

10182816209160 is a gapful number since it is divisible by the number (10) 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 10182816209160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576266444800).

10182816209160 is an abundant number, since it is smaller than the sum of its proper divisors (30969716680440).

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

10182816209160 is a wasteful number, since it uses less digits than its factorization.

10182816209160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 10182816209160 in words is "ten trillion, one hundred eighty-two billion, eight hundred sixteen million, two hundred nine thousand, one hundred sixty".