1082870840448 has 160 divisors (see below), whose sum is σ = 3223367051520. Its totient is φ = 360871718400.

The previous prime is 1082870840437. The next prime is 1082870840449. The reversal of 1082870840448 is 8440480782801.

1082870840448 is a `hidden beast` number, since 1 + 0 + 82 + 87 + 0 + 8 + 40 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1082870840394 and 1082870840403.

It is not an unprimeable number, because it can be changed into a prime (1082870840449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56298993 + ... + 56318223.

It is an arithmetic number, because the mean of its divisors is an integer number (20146044072).

Almost surely, 2^{1082870840448} is an apocalyptic number.

1082870840448 is a gapful number since it is divisible by the number (18) 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 1082870840448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611683525760).

1082870840448 is an abundant number, since it is smaller than the sum of its proper divisors (2140496211072).

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

1082870840448 is an equidigital number, since it uses as much as digits as its factorization.

1082870840448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24688 (or 24667 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 1082870840448 in words is "one trillion, eighty-two billion, eight hundred seventy million, eight hundred forty thousand, four hundred forty-eight".