1255512960 has 576 divisors, whose sum is σ = 5059061280. Its totient is φ = 295612416.

The previous prime is 1255512959. The next prime is 1255512967. The reversal of 1255512960 is 692155521.

1255512960 is a `hidden beast` number, since 1 + 2 + 55 + 512 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255512967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54587509 + ... + 54587531.

Almost surely, 2^1255512960 is an apocalyptic number.

1255512960 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 1255512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529530640).

1255512960 is an abundant number, since it is smaller than the sum of its proper divisors (3803548320).

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

1255512960 is an frugal number, since it uses more digits than its factorization.

1255512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1255512960 is about 35433.2183127641. The cubic root of 1255512960 is about 1078.7986641920.

The spelling of 1255512960 in words is "one billion, two hundred fifty-five million, five hundred twelve thousand, nine hundred sixty".