10510340960 has 192 divisors, whose sum is σ = 30438374400. Its totient is φ = 3349112832.

The previous prime is 10510340959. The next prime is 10510340999. The reversal of 10510340960 is 6904301501.

It is a super-2 number, since 2×10510340960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123181 + ... + 1132499.

It is an arithmetic number, because the mean of its divisors is an integer number (158533200).

Almost surely, 2^10510340960 is an apocalyptic number.

10510340960 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 10510340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15219187200).

10510340960 is an abundant number, since it is smaller than the sum of its proper divisors (19928033440).

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

10510340960 is a wasteful number, since it uses less digits than its factorization.

10510340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 10510340960 in words is "ten billion, five hundred ten million, three hundred forty thousand, nine hundred sixty".