1288172160 has 448 divisors, whose sum is σ = 5057004960. Its totient is φ = 311040000.

The previous prime is 1288172147. The next prime is 1288172167. The reversal of 1288172160 is 612718821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1288172167) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5132035 + ... + 5132285.

Almost surely, 2^1288172160 is an apocalyptic number.

1288172160 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 1288172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528502480).

1288172160 is an abundant number, since it is smaller than the sum of its proper divisors (3768832800).

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

1288172160 is an equidigital number, since it uses as much as digits as its factorization.

1288172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1288172160 is about 35891.1153351355. The cubic root of 1288172160 is about 1088.0728397024.

The spelling of 1288172160 in words is "one billion, two hundred eighty-eight million, one hundred seventy-two thousand, one hundred sixty".