1085117827760 has 80 divisors (see below), whose sum is σ = 2590893044256. Its totient is φ = 422422124544.

The previous prime is 1085117827753. The next prime is 1085117827763. The reversal of 1085117827760 is 677287115801.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1085117827763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383492 + ... + 1522268.

Almost surely, 2^{1085117827760} is an apocalyptic number.

1085117827760 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 1085117827760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295446522128).

1085117827760 is an abundant number, since it is smaller than the sum of its proper divisors (1505775216496).

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

1085117827760 is a wasteful number, since it uses less digits than its factorization.

1085117827760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139110 (or 1139104 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 53.

The spelling of 1085117827760 in words is "one trillion, eighty-five billion, one hundred seventeen million, eight hundred twenty-seven thousand, seven hundred sixty".