10065269760 has 704 divisors, whose sum is σ = 41817753600. Its totient is φ = 2006581248.

The previous prime is 10065269759. The next prime is 10065269761. The reversal of 10065269760 is 6796256001.

10065269760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10065269759) and next prime (10065269761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10065269761) 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 63 ways as a sum of consecutive naturals, for example, 26557251 + ... + 26557629.

Almost surely, 2^10065269760 is an apocalyptic number.

10065269760 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 10065269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908876800).

10065269760 is an abundant number, since it is smaller than the sum of its proper divisors (31752483840).

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

10065269760 is a wasteful number, since it uses less digits than its factorization.

10065269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

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

The spelling of 10065269760 in words is "ten billion, sixty-five million, two hundred sixty-nine thousand, seven hundred sixty".