1285079685120 has 1152 divisors, whose sum is σ = 5672476293120. Its totient is φ = 261280235520.

The previous prime is 1285079685107. The next prime is 1285079685173. The reversal of 1285079685120 is 215869705821.

1285079685120 is a `hidden beast` number, since 1 + 2 + 8 + 50 + 79 + 6 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333525114 + ... + 333528966.

It is an arithmetic number, because the mean of its divisors is an integer number (4924024560).

Almost surely, 2^{1285079685120} is an apocalyptic number.

1285079685120 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 1285079685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836238146560).

1285079685120 is an abundant number, since it is smaller than the sum of its proper divisors (4387396608000).

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

1285079685120 is a wasteful number, since it uses less digits than its factorization.

1285079685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1285079685120 in words is "one trillion, two hundred eighty-five billion, seventy-nine million, six hundred eighty-five thousand, one hundred twenty".