1255919616 has 312 divisors, whose sum is σ = 4307024384. Its totient is φ = 345047040.

The previous prime is 1255919603. The next prime is 1255919653. The reversal of 1255919616 is 6169195521.

It is a happy number.

1255919616 is a `hidden beast` number, since 1 + 2 + 559 + 1 + 96 + 1 + 6 = 666.

Its product of digits (145800) is a multiple of the sum of its prime divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7999410 + ... + 7999566.

Almost surely, 2^1255919616 is an apocalyptic number.

1255919616 is a gapful number since it is divisible by the number (16) 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 1255919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153512192).

1255919616 is an abundant number, since it is smaller than the sum of its proper divisors (3051104768).

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

1255919616 is a wasteful number, since it uses less digits than its factorization.

1255919616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The square root of 1255919616 is about 35438.9561923034. The cubic root of 1255919616 is about 1078.9151245838.

The spelling of 1255919616 in words is "one billion, two hundred fifty-five million, nine hundred nineteen thousand, six hundred sixteen".