1255988160 has 448 divisors, whose sum is σ = 5335219200. Its totient is φ = 271724544.

The previous prime is 1255988119. The next prime is 1255988183. The reversal of 1255988160 is 618895521.

It is a happy number.

1255988160 is a `hidden beast` number, since 1 + 2 + 559 + 88 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1148574 + ... + 1149666.

Almost surely, 2^1255988160 is an apocalyptic number.

1255988160 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 1255988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667609600).

1255988160 is an abundant number, since it is smaller than the sum of its proper divisors (4079231040).

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

1255988160 is a wasteful number, since it uses less digits than its factorization.

1255988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1255988160 is about 35439.9232504812. The cubic root of 1255988160 is about 1078.9347521173.

The spelling of 1255988160 in words is "one billion, two hundred fifty-five million, nine hundred eighty-eight thousand, one hundred sixty".