10682775780416 has 448 divisors, whose sum is σ = 24480755712000. Its totient is φ = 4598196387840.

The previous prime is 10682775780403. The next prime is 10682775780431. The reversal of 10682775780416 is 61408757728601.

It is a super-2 number, since 2×10682775780416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12886339490 + ... + 12886340318.

It is an arithmetic number, because the mean of its divisors is an integer number (54644544000).

Almost surely, 2^{10682775780416} is an apocalyptic number.

10682775780416 is a gapful number since it is divisible by the number (16) 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 10682775780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240377856000).

10682775780416 is an abundant number, since it is smaller than the sum of its proper divisors (13797979931584).

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

10682775780416 is a wasteful number, since it uses less digits than its factorization.

10682775780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 62.

The spelling of 10682775780416 in words is "ten trillion, six hundred eighty-two billion, seven hundred seventy-five million, seven hundred eighty thousand, four hundred sixteen".