1255557120 has 192 divisors, whose sum is σ = 4193804160. Its totient is φ = 320077824.

The previous prime is 1255557119. The next prime is 1255557131. The reversal of 1255557120 is 217555521.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705672 + ... + 707448.

It is an arithmetic number, because the mean of its divisors is an integer number (21842730).

Almost surely, 2^1255557120 is an apocalyptic number.

1255557120 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 1255557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096902080).

1255557120 is an abundant number, since it is smaller than the sum of its proper divisors (2938247040).

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

1255557120 is a wasteful number, since it uses less digits than its factorization.

1255557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 17500, while the sum is 33.

The square root of 1255557120 is about 35433.8414513583. The cubic root of 1255557120 is about 1078.8113121938.

The spelling of 1255557120 in words is "one billion, two hundred fifty-five million, five hundred fifty-seven thousand, one hundred twenty".