1288755090 has 192 divisors, whose sum is σ = 4109011200. Its totient is φ = 281546496.

The previous prime is 1288755079. The next prime is 1288755121. The reversal of 1288755090 is 905578821.

It is a happy number.

1288755090 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 7 + 550 + 90 = 666.

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 95 ways as a sum of consecutive naturals, for example, 999166 + ... + 1000454.

It is an arithmetic number, because the mean of its divisors is an integer number (21401100).

Almost surely, 2^1288755090 is an apocalyptic number.

1288755090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288755090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054505600).

1288755090 is an abundant number, since it is smaller than the sum of its proper divisors (2820256110).

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

1288755090 is a wasteful number, since it uses less digits than its factorization.

1288755090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 1288755090 is about 35899.2352286229. The cubic root of 1288755090 is about 1088.2369416420.

The spelling of 1288755090 in words is "one billion, two hundred eighty-eight million, seven hundred fifty-five thousand, ninety".