1282561076160 has 2016 divisors, whose sum is σ = 5795105097600. Its totient is φ = 268631064576.

The previous prime is 1282561076119. The next prime is 1282561076177. The reversal of 1282561076160 is 616701652821.

1282561076160 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 561 + 0 + 76 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9361759612 + ... + 9361759748.

It is an arithmetic number, because the mean of its divisors is an integer number (2874556100).

Almost surely, 2^{1282561076160} is an apocalyptic number.

1282561076160 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 1282561076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897552548800).

1282561076160 is an abundant number, since it is smaller than the sum of its proper divisors (4512544021440).

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

1282561076160 is an frugal number, since it uses more digits than its factorization.

1282561076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1282561076160 in words is "one trillion, two hundred eighty-two billion, five hundred sixty-one million, seventy-six thousand, one hundred sixty".