1085232582720 has 1680 divisors, whose sum is σ = 4683433782720. Its totient is φ = 236818391040.

The previous prime is 1085232582719. The next prime is 1085232582773. The reversal of 1085232582720 is 272852325801.

1085232582720 is a `hidden beast` number, since 1 + 0 + 8 + 52 + 325 + 8 + 272 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1753202571 + ... + 1753203189.

It is an arithmetic number, because the mean of its divisors is an integer number (2787758204).

Almost surely, 2^{1085232582720} is an apocalyptic number.

1085232582720 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 1085232582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341716891360).

1085232582720 is an abundant number, since it is smaller than the sum of its proper divisors (3598201200000).

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

1085232582720 is a wasteful number, since it uses less digits than its factorization.

1085232582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1085232582720 in words is "one trillion, eighty-five billion, two hundred thirty-two million, five hundred eighty-two thousand, seven hundred twenty".