10514025768 has 96 divisors (see below), whose sum is σ = 28180389600. Its totient is φ = 3268021248.

The previous prime is 10514025721. The next prime is 10514025803. The reversal of 10514025768 is 86752041501.

10514025768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10514025768⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 749071 + ... + 762977.

It is an arithmetic number, because the mean of its divisors is an integer number (293545725).

Almost surely, 2^10514025768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10514025768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14090194800).

10514025768 is an abundant number, since it is smaller than the sum of its proper divisors (17666363832).

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

10514025768 is a wasteful number, since it uses less digits than its factorization.

10514025768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14059 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 10514025768 in words is "ten billion, five hundred fourteen million, twenty-five thousand, seven hundred sixty-eight".