10682357760 has 480 divisors, whose sum is σ = 39171852720. Its totient is φ = 2794881024.

The previous prime is 10682357747. The next prime is 10682357773. The reversal of 10682357760 is 6775328601.

10682357760 is a `hidden beast` number, since 10 + 6 + 8 + 2 + 3 + 577 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10682357747) and next prime (10682357773).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10682357760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201553894 + ... + 201553946.

Almost surely, 2^10682357760 is an apocalyptic number.

10682357760 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 10682357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585926360).

10682357760 is an abundant number, since it is smaller than the sum of its proper divisors (28489494960).

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

10682357760 is an frugal number, since it uses more digits than its factorization.

10682357760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10682357760 in words is "ten billion, six hundred eighty-two million, three hundred fifty-seven thousand, seven hundred sixty".