10769172960 has 288 divisors, whose sum is σ = 42498019872. Its totient is φ = 2272112640.

The previous prime is 10769172917. The next prime is 10769172961. The reversal of 10769172960 is 6927196701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10769172961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288150 + ... + 323370.

It is an arithmetic number, because the mean of its divisors is an integer number (147562569).

Almost surely, 2^10769172960 is an apocalyptic number.

10769172960 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 10769172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21249009936).

10769172960 is an abundant number, since it is smaller than the sum of its proper divisors (31728846912).

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

10769172960 is a wasteful number, since it uses less digits than its factorization.

10769172960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35266 (or 35251 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 10769172960 in words is "ten billion, seven hundred sixty-nine million, one hundred seventy-two thousand, nine hundred sixty".