1255541760 has 264 divisors, whose sum is σ = 4747828176. Its totient is φ = 304250880.

The previous prime is 1255541753. The next prime is 1255541761. The reversal of 1255541760 is 671455521.

1255541760 is a `hidden beast` number, since 1 + 2 + 55 + 541 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×1255541760² = 3152770222207795200, which contains 22 as substring.

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 (1255541761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505642 + ... + 508118.

Almost surely, 2^1255541760 is an apocalyptic number.

1255541760 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 1255541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373914088).

1255541760 is an abundant number, since it is smaller than the sum of its proper divisors (3492286416).

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

1255541760 is a wasteful number, since it uses less digits than its factorization.

1255541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1255541760 is about 35433.6247087424. The cubic root of 1255541760 is about 1078.8069129225.

The spelling of 1255541760 in words is "one billion, two hundred fifty-five million, five hundred forty-one thousand, seven hundred sixty".