1155785500800 has 2880 divisors, whose sum is σ = 5405408708040. Its totient is φ = 241532928000.

The previous prime is 1155785500763. The next prime is 1155785500801. The reversal of 1155785500800 is 80055875511.

1155785500800 is a `hidden beast` number, since 1 + 15 + 5 + 7 + 8 + 550 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 601642230336 + 554143270464 = 775656^2 + 744408^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is not an unprimeable number, because it can be changed into a prime (1155785500801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11443420750 + ... + 11443420850.

Almost surely, 2^{1155785500800} is an apocalyptic number.

1155785500800 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 1155785500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702704354020).

1155785500800 is an abundant number, since it is smaller than the sum of its proper divisors (4249623207240).

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

1155785500800 is a wasteful number, since it uses less digits than its factorization.

1155785500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 280000, while the sum is 45.

The spelling of 1155785500800 in words is "one trillion, one hundred fifty-five billion, seven hundred eighty-five million, five hundred thousand, eight hundred".