1285358616576 has 640 divisors, whose sum is σ = 4127191200000. Its totient is φ = 399023013888.

The previous prime is 1285358616551. The next prime is 1285358616599. The reversal of 1285358616576 is 6756168535821.

1285358616576 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 3 + 5 + 8 + 616 + 5 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21785739235 + ... + 21785739293.

It is an arithmetic number, because the mean of its divisors is an integer number (6448736250).

Almost surely, 2^{1285358616576} is an apocalyptic number.

1285358616576 is a gapful number since it is divisible by the number (16) 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 1285358616576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063595600000).

1285358616576 is an abundant number, since it is smaller than the sum of its proper divisors (2841832583424).

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

1285358616576 is an frugal number, since it uses more digits than its factorization.

1285358616576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 83 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 1285358616576 in words is "one trillion, two hundred eighty-five billion, three hundred fifty-eight million, six hundred sixteen thousand, five hundred seventy-six".