1082872378080 has 576 divisors, whose sum is σ = 3861686949120. Its totient is φ = 276092264448.

The previous prime is 1082872378051. The next prime is 1082872378103. The reversal of 1082872378080 is 808732782801.

1082872378080 is a `hidden beast` number, since 108 + 28 + 72 + 378 + 0 + 80 = 666.

It is a super-2 number, since 2×1082872378080² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1143476167 + ... + 1143477113.

It is an arithmetic number, because the mean of its divisors is an integer number (6704317620).

Almost surely, 2^{1082872378080} is an apocalyptic number.

1082872378080 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 1082872378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930843474560).

1082872378080 is an abundant number, since it is smaller than the sum of its proper divisors (2778814571040).

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

1082872378080 is a wasteful number, since it uses less digits than its factorization.

1082872378080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 1082872378080 in words is "one trillion, eighty-two billion, eight hundred seventy-two million, three hundred seventy-eight thousand, eighty".