1255611600 has 180 divisors, whose sum is σ = 4498279552. Its totient is φ = 324000000.

The previous prime is 1255611589. The next prime is 1255611629. The reversal of 1255611600 is 61165521.

It is a happy number.

1255611600 is a `hidden beast` number, since 1 + 2 + 5 + 56 + 1 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105975 + ... + 117225.

Almost surely, 2^1255611600 is an apocalyptic number.

1255611600 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 1255611600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249139776).

1255611600 is an abundant number, since it is smaller than the sum of its proper divisors (3242667952).

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

1255611600 is a wasteful number, since it uses less digits than its factorization.

1255611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11306 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1255611600 is about 35434.6101996339. The cubic root of 1255611600 is about 1078.8269155700.

The spelling of 1255611600 in words is "one billion, two hundred fifty-five million, six hundred eleven thousand, six hundred".