1085172940800 has 2040 divisors, whose sum is σ = 4708014745896. Its totient is φ = 244611809280.

The previous prime is 1085172940759. The next prime is 1085172940811. The reversal of 1085172940800 is 80492715801.

1085172940800 is a `hidden beast` number, since 10 + 8 + 517 + 2 + 9 + 40 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 130847145984 + 954325794816 = 361728^2 + 976896^2 .

It is a tau number, because it is divible by the number of its divisors (2040).

It is a super-2 number, since 2×1085172940800² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29328998382 + ... + 29328998418.

Almost surely, 2^{1085172940800} is an apocalyptic number.

1085172940800 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 1085172940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354007372948).

1085172940800 is an abundant number, since it is smaller than the sum of its proper divisors (3622841805096).

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

1085172940800 is an equidigital number, since it uses as much as digits as its factorization.

1085172940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1085172940800 in words is "one trillion, eighty-five billion, one hundred seventy-two million, nine hundred forty thousand, eight hundred".