1085455949760 has 1008 divisors, whose sum is σ = 4791561046272. Its totient is φ = 223417958400.

The previous prime is 1085455949759. The next prime is 1085455949777. The reversal of 1085455949760 is 679495545801.

1085455949760 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 4 + 559 + 4 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75209745 + ... + 75224175.

It is an arithmetic number, because the mean of its divisors is an integer number (4753532784).

Almost surely, 2^{1085455949760} is an apocalyptic number.

1085455949760 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 1085455949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395780523136).

1085455949760 is an abundant number, since it is smaller than the sum of its proper divisors (3706105096512).

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

1085455949760 is a wasteful number, since it uses less digits than its factorization.

1085455949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14522 (or 14502 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 1085455949760 in words is "one trillion, eighty-five billion, four hundred fifty-five million, nine hundred forty-nine thousand, seven hundred sixty".