1082519186112 has 504 divisors, whose sum is σ = 3960493847856. Its totient is φ = 280107749376.

The previous prime is 1082519186101. The next prime is 1082519186141. The reversal of 1082519186112 is 2116819152801.

1082519186112 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 5 + 19 + 18 + 611 + 2 = 666.

1082519186112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19418503 + ... + 19474169.

It is an arithmetic number, because the mean of its divisors is an integer number (7858122714).

Almost surely, 2^{1082519186112} is an apocalyptic number.

1082519186112 is a gapful number since it is divisible by the number (12) 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 1082519186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980246923928).

1082519186112 is an abundant number, since it is smaller than the sum of its proper divisors (2877974661744).

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

1082519186112 is a wasteful number, since it uses less digits than its factorization.

1082519186112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55765 (or 55745 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 45.

The spelling of 1082519186112 in words is "one trillion, eighty-two billion, five hundred nineteen million, one hundred eighty-six thousand, one hundred twelve".