10514540320 has 96 divisors (see below), whose sum is σ = 25679033856. Its totient is φ = 4064256000.

The previous prime is 10514540287. The next prime is 10514540329. The reversal of 10514540320 is 2304541501.

It is a happy number.

It is a super-2 number, since 2×10514540320² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10514540329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5211952 + ... + 5213968.

It is an arithmetic number, because the mean of its divisors is an integer number (267489936).

Almost surely, 2^10514540320 is an apocalyptic number.

10514540320 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 10514540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12839516928).

10514540320 is an abundant number, since it is smaller than the sum of its proper divisors (15164493536).

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

10514540320 is a wasteful number, since it uses less digits than its factorization.

10514540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 10514540320 in words is "ten billion, five hundred fourteen million, five hundred forty thousand, three hundred twenty".