1082287863360 has 1232 divisors, whose sum is σ = 4354084288512. Its totient is φ = 253957939200.

The previous prime is 1082287863353. The next prime is 1082287863367. The reversal of 1082287863360 is 633687822801.

1082287863360 is a `hidden beast` number, since 1 + 0 + 8 + 228 + 7 + 86 + 336 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1082287863353) and next prime (1082287863367).

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 = 1082287863297 and 1082287863306.

It is not an unprimeable number, because it can be changed into a prime (1082287863367) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 8521951617 + ... + 8521951743.

Almost surely, 2^{1082287863360} is an apocalyptic number.

1082287863360 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 1082287863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177042144256).

1082287863360 is an abundant number, since it is smaller than the sum of its proper divisors (3271796425152).

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

1082287863360 is an equidigital number, since it uses as much as digits as its factorization.

1082287863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1082287863360 in words is "one trillion, eighty-two billion, two hundred eighty-seven million, eight hundred sixty-three thousand, three hundred sixty".