1255583096656 has 160 divisors (see below), whose sum is σ = 2889715046400. Its totient is φ = 517288094208.

The previous prime is 1255583096623. The next prime is 1255583096659. The reversal of 1255583096656 is 6566903855521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1255583096594 and 1255583096603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255583096659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199327395 + ... + 199333693.

It is an arithmetic number, because the mean of its divisors is an integer number (18060719040).

Almost surely, 2^{1255583096656} is an apocalyptic number.

1255583096656 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 1255583096656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444857523200).

1255583096656 is an abundant number, since it is smaller than the sum of its proper divisors (1634131949744).

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

1255583096656 is a wasteful number, since it uses less digits than its factorization.

1255583096656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 61.

The spelling of 1255583096656 in words is "one trillion, two hundred fifty-five billion, five hundred eighty-three million, ninety-six thousand, six hundred fifty-six".