1205275780800 has 1008 divisors, whose sum is σ = 5308657099200. Its totient is φ = 252552314880.

The previous prime is 1205275780799. The next prime is 1205275780801. The reversal of 1205275780800 is 80875725021.

1205275780800 is a `hidden beast` number, since 1 + 20 + 52 + 7 + 578 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1205275780799) and next prime (1205275780801).

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 (45).

It is not an unprimeable number, because it can be changed into a prime (1205275780801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195246514 + ... + 195252686.

It is an arithmetic number, because the mean of its divisors is an integer number (5266524900).

Almost surely, 2^{1205275780800} is an apocalyptic number.

1205275780800 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 1205275780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654328549600).

1205275780800 is an abundant number, since it is smaller than the sum of its proper divisors (4103381318400).

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

1205275780800 is a wasteful number, since it uses less digits than its factorization.

1205275780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 1205275780800 in words is "one trillion, two hundred five billion, two hundred seventy-five million, seven hundred eighty thousand, eight hundred".