10261164768 has 24 divisors (see below), whose sum is σ = 26935557768. Its totient is φ = 3420388224.

The previous prime is 10261164761. The next prime is 10261164769. The reversal of 10261164768 is 86746116201.

10261164768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10261164761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53443471 + ... + 53443662.

It is an arithmetic number, because the mean of its divisors is an integer number (1122314907).

Almost surely, 2^10261164768 is an apocalyptic number.

It is an amenable number.

10261164768 is an abundant number, since it is smaller than the sum of its proper divisors (16674393000).

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

10261164768 is a wasteful number, since it uses less digits than its factorization.

10261164768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106887146 (or 106887138 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10261164768 in words is "ten billion, two hundred sixty-one million, one hundred sixty-four thousand, seven hundred sixty-eight".