10164526792 has 64 divisors (see below), whose sum is σ = 22517953920. Its totient is φ = 4210956288.

The previous prime is 10164526759. The next prime is 10164526793. The reversal of 10164526792 is 29762546101.

It is a super-2 number, since 2×10164526792² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (10164526793) by changing a digit.

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, 211818 + ... + 255334.

It is an arithmetic number, because the mean of its divisors is an integer number (351843030).

Almost surely, 2^10164526792 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 10164526792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11258976960).

10164526792 is an abundant number, since it is smaller than the sum of its proper divisors (12353427128).

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

10164526792 is a wasteful number, since it uses less digits than its factorization.

10164526792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43670 (or 43666 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 10164526792 in words is "ten billion, one hundred sixty-four million, five hundred twenty-six thousand, seven hundred ninety-two".