10261164760 has 128 divisors (see below), whose sum is σ = 28870525440. Its totient is φ = 3188736000.

The previous prime is 10261164733. The next prime is 10261164761. The reversal of 10261164760 is 6746116201.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063960 + ... + 1073560.

It is an arithmetic number, because the mean of its divisors is an integer number (225550980).

Almost surely, 2^10261164760 is an apocalyptic number.

10261164760 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 10261164760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435262720).

10261164760 is an abundant number, since it is smaller than the sum of its proper divisors (18609360680).

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

10261164760 is a wasteful number, since it uses less digits than its factorization.

10261164760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9977 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 10261164760 in words is "ten billion, two hundred sixty-one million, one hundred sixty-four thousand, seven hundred sixty".