10162829864 has 64 divisors (see below), whose sum is σ = 21966336000. Its totient is φ = 4362621120.

The previous prime is 10162829843. The next prime is 10162829869. The reversal of 10162829864 is 46892826101.

It is a super-2 number, since 2×10162829864² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10162829869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128117 + ... + 191675.

It is an arithmetic number, because the mean of its divisors is an integer number (343224000).

Almost surely, 2^10162829864 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 10162829864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10983168000).

10162829864 is an abundant number, since it is smaller than the sum of its proper divisors (11803506136).

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

10162829864 is a wasteful number, since it uses less digits than its factorization.

10162829864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63678 (or 63674 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 10162829864 in words is "ten billion, one hundred sixty-two million, eight hundred twenty-nine thousand, eight hundred sixty-four".