1085910556800 has 384 divisors, whose sum is σ = 3886436966400. Its totient is φ = 265484390400.

The previous prime is 1085910556763. The next prime is 1085910556811. The reversal of 1085910556800 is 86550195801.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1085910556800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5558377 + ... + 5750423.

It is an arithmetic number, because the mean of its divisors is an integer number (10120929600).

Almost surely, 2^{1085910556800} is an apocalyptic number.

1085910556800 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 1085910556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943218483200).

1085910556800 is an abundant number, since it is smaller than the sum of its proper divisors (2800526409600).

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

1085910556800 is a wasteful number, since it uses less digits than its factorization.

1085910556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192124 (or 192107 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 48.

The spelling of 1085910556800 in words is "one trillion, eighty-five billion, nine hundred ten million, five hundred fifty-six thousand, eight hundred".