10765264014 has 56 divisors (see below), whose sum is σ = 24236925240. Its totient is φ = 3584545488.

The previous prime is 10765264009. The next prime is 10765264019. The reversal of 10765264014 is 41046256701.

10765264014 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 5 + 2 + 640 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10765264009) and next prime (10765264019).

It is a super-2 number, since 2×10765264014² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10765264014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10765264019) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1555149 + ... + 1562055.

Almost surely, 2^10765264014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10765264014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118462620).

10765264014 is an abundant number, since it is smaller than the sum of its proper divisors (13471661226).

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

10765264014 is an equidigital number, since it uses as much as digits as its factorization.

10765264014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10765264014 in words is "ten billion, seven hundred sixty-five million, two hundred sixty-four thousand, fourteen".