1205282856960 has 2688 divisors, whose sum is σ = 5679076515840. Its totient is φ = 229323571200.

The previous prime is 1205282856937. The next prime is 1205282856961. The reversal of 1205282856960 is 696582825021.

1205282856960 is a `hidden beast` number, since 1 + 2 + 0 + 52 + 8 + 28 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a junction number, because it is equal to n+sod(n) for n = 1205282856897 and 1205282856906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205282856961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19758735330 + ... + 19758735390.

It is an arithmetic number, because the mean of its divisors is an integer number (2112751680).

Almost surely, 2^{1205282856960} is an apocalyptic number.

1205282856960 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 1205282856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839538257920).

1205282856960 is an abundant number, since it is smaller than the sum of its proper divisors (4473793658880).

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

1205282856960 is a wasteful number, since it uses less digits than its factorization.

1205282856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1205282856960 in words is "one trillion, two hundred five billion, two hundred eighty-two million, eight hundred fifty-six thousand, nine hundred sixty".