10514686080 has 128 divisors (see below), whose sum is σ = 33625238400. Its totient is φ = 2794741760.

The previous prime is 10514686073. The next prime is 10514686097. The reversal of 10514686080 is 8068641501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10514686080² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 588316 + ... + 605924.

It is an arithmetic number, because the mean of its divisors is an integer number (262697175).

Almost surely, 2^10514686080 is an apocalyptic number.

10514686080 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 10514686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812619200).

10514686080 is an abundant number, since it is smaller than the sum of its proper divisors (23110552320).

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

10514686080 is a wasteful number, since it uses less digits than its factorization.

10514686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17942 (or 17930 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 10514686080 in words is "ten billion, five hundred fourteen million, six hundred eighty-six thousand, eighty".