1085831105376 has 48 divisors (see below), whose sum is σ = 2850424308144. Its totient is φ = 361928761344.

The previous prime is 1085831105351. The next prime is 1085831105417. The reversal of 1085831105376 is 6735011385801.

1085831105376 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 (48).

It is a super-2 number, since 2×1085831105376² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2240140 + ... + 2681396.

It is an arithmetic number, because the mean of its divisors is an integer number (59383839753).

Almost surely, 2^{1085831105376} is an apocalyptic number.

1085831105376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1085831105376 is an abundant number, since it is smaller than the sum of its proper divisors (1764593202768).

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

1085831105376 is a wasteful number, since it uses less digits than its factorization.

1085831105376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466903 (or 466895 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 1085831105376 in words is "one trillion, eighty-five billion, eight hundred thirty-one million, one hundred five thousand, three hundred seventy-six".