1082131955856 has 600 divisors, whose sum is σ = 3757641370560. Its totient is φ = 294490639872.

The previous prime is 1082131955813. The next prime is 1082131955887. The reversal of 1082131955856 is 6585591312801.

1082131955856 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 1 + 31 + 9 + 558 + 56 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2125995730 + ... + 2125996238.

Almost surely, 2^{1082131955856} is an apocalyptic number.

1082131955856 is a gapful number since it is divisible by the number (16) 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 1082131955856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878820685280).

1082131955856 is an abundant number, since it is smaller than the sum of its proper divisors (2675509414704).

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

1082131955856 is a wasteful number, since it uses less digits than its factorization.

1082131955856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 1082131955856 in words is "one trillion, eighty-two billion, one hundred thirty-one million, nine hundred fifty-five thousand, eight hundred fifty-six".