10164759360 has 448 divisors, whose sum is σ = 38343352320. Its totient is φ = 2233221120.

The previous prime is 10164759359. The next prime is 10164759383. The reversal of 10164759360 is 6395746101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 21765847 + ... + 21766313.

It is an arithmetic number, because the mean of its divisors is an integer number (85587840).

Almost surely, 2^10164759360 is an apocalyptic number.

10164759360 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 10164759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171676160).

10164759360 is an abundant number, since it is smaller than the sum of its proper divisors (28178592960).

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

10164759360 is a wasteful number, since it uses less digits than its factorization.

10164759360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 10164759360 in words is "ten billion, one hundred sixty-four million, seven hundred fifty-nine thousand, three hundred sixty".