10682741862960 has 320 divisors, whose sum is σ = 34728678650880. Its totient is φ = 2711319367680.

The previous prime is 10682741862959. The next prime is 10682741862967. The reversal of 10682741862960 is 6926814728601.

It is a happy number.

It is a super-2 number, since 2×10682741862960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10682741862894 and 10682741862903.

It is not an unprimeable number, because it can be changed into a prime (10682741862967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922590451 + ... + 922602029.

It is an arithmetic number, because the mean of its divisors is an integer number (108527120784).

Almost surely, 2^{10682741862960} is an apocalyptic number.

10682741862960 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 10682741862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364339325440).

10682741862960 is an abundant number, since it is smaller than the sum of its proper divisors (24045936787920).

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

10682741862960 is a wasteful number, since it uses less digits than its factorization.

10682741862960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 10682741862960 in words is "ten trillion, six hundred eighty-two billion, seven hundred forty-one million, eight hundred sixty-two thousand, nine hundred sixty".