1085901465600 has 3456 divisors, whose sum is σ = 5251501382400. Its totient is φ = 217998950400.

The previous prime is 1085901465599. The next prime is 1085901465637. The reversal of 1085901465600 is 65641095801.

1085901465600 is a `hidden beast` number, since 1 + 0 + 8 + 590 + 1 + 4 + 6 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 26485401580 + ... + 26485401620.

It is an arithmetic number, because the mean of its divisors is an integer number (1519531650).

Almost surely, 2^{1085901465600} is an apocalyptic number.

1085901465600 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 1085901465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625750691200).

1085901465600 is an abundant number, since it is smaller than the sum of its proper divisors (4165599916800).

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

1085901465600 is a wasteful number, since it uses less digits than its factorization.

1085901465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1085901465600 in words is "one trillion, eighty-five billion, nine hundred one million, four hundred sixty-five thousand, six hundred".