1288787490000 has 600 divisors, whose sum is σ = 4777531450560. Its totient is φ = 332523360000.

The previous prime is 1288787489987. The next prime is 1288787490049. The reversal of 1288787490000 is 947878821.

It is a happy number.

1288787490000 is a `hidden beast` number, since 1 + 2 + 88 + 78 + 7 + 490 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 259467517 + ... + 259472483.

Almost surely, 2^{1288787490000} is an apocalyptic number.

1288787490000 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 1288787490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388765725280).

1288787490000 is an abundant number, since it is smaller than the sum of its proper divisors (3488743960560).

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

1288787490000 is an equidigital number, since it uses as much as digits as its factorization.

1288787490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1288787490000 in words is "one trillion, two hundred eighty-eight billion, seven hundred eighty-seven million, four hundred ninety thousand".