1086885816768 has 336 divisors, whose sum is σ = 3369422085120. Its totient is φ = 333886482432.

The previous prime is 1086885816763. The next prime is 1086885816829. The reversal of 1086885816768 is 8676185886801.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1086885816696 and 1086885816705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086885816763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85893130 + ... + 85905782.

It is an arithmetic number, because the mean of its divisors is an integer number (10028041920).

Almost surely, 2^{1086885816768} is an apocalyptic number.

1086885816768 is a gapful number since it is divisible by the number (18) 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 1086885816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684711042560).

1086885816768 is an abundant number, since it is smaller than the sum of its proper divisors (2282536268352).

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

1086885816768 is a wasteful number, since it uses less digits than its factorization.

1086885816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12904 (or 12891 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 1086885816768 in words is "one trillion, eighty-six billion, eight hundred eighty-five million, eight hundred sixteen thousand, seven hundred sixty-eight".