1082091791520 has 672 divisors, whose sum is σ = 3943660697424. Its totient is φ = 280284364800.

The previous prime is 1082091791519. The next prime is 1082091791551. The reversal of 1082091791520 is 251971902801.

1082091791520 is a `hidden beast` number, since 1 + 0 + 8 + 20 + 9 + 17 + 91 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 364608253584 + 717483537936 = 603828^2 + 847044^2 .

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 111 ways as a sum of consecutive naturals, for example, 1688130400 + ... + 1688131040.

Almost surely, 2^{1082091791520} is an apocalyptic number.

1082091791520 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 1082091791520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971830348712).

1082091791520 is an abundant number, since it is smaller than the sum of its proper divisors (2861568905904).

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

1082091791520 is an equidigital number, since it uses as much as digits as its factorization.

1082091791520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 1082091791520 in words is "one trillion, eighty-two billion, ninety-one million, seven hundred ninety-one thousand, five hundred twenty".