1287605542608 has 240 divisors, whose sum is σ = 4496999649792. Its totient is φ = 334121760000.

The previous prime is 1287605542607. The next prime is 1287605542621. The reversal of 1287605542608 is 8062455067821.

1287605542608 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 60 + 554 + 26 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287605542607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11598243 + ... + 11708733.

Almost surely, 2^{1287605542608} is an apocalyptic number.

1287605542608 is a gapful number since it is divisible by the number (18) 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 1287605542608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248499824896).

1287605542608 is an abundant number, since it is smaller than the sum of its proper divisors (3209394107184).

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

1287605542608 is a wasteful number, since it uses less digits than its factorization.

1287605542608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111574 (or 111565 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1287605542608 in words is "one trillion, two hundred eighty-seven billion, six hundred five million, five hundred forty-two thousand, six hundred eight".