1082282160960 has 3360 divisors, whose sum is σ = 5403509274240. Its totient is φ = 202051584000.

The previous prime is 1082282160937. The next prime is 1082282160989. The reversal of 1082282160960 is 690612822801.

1082282160960 is a `hidden beast` number, since 10 + 8 + 2 + 2 + 8 + 21 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 479 ways as a sum of consecutive naturals, for example, 10715664910 + ... + 10715665010.

It is an arithmetic number, because the mean of its divisors is an integer number (1608187284).

Almost surely, 2^{1082282160960} is an apocalyptic number.

1082282160960 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 1082282160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701754637120).

1082282160960 is an abundant number, since it is smaller than the sum of its proper divisors (4321227113280).

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

1082282160960 is a wasteful number, since it uses less digits than its factorization.

1082282160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1082282160960 in words is "one trillion, eighty-two billion, two hundred eighty-two million, one hundred sixty thousand, nine hundred sixty".