1255661967560 has 768 divisors, whose sum is σ = 4220561479680. Its totient is φ = 329011200000.

The previous prime is 1255661967517. The next prime is 1255661967587. The reversal of 1255661967560 is 657691665521.

It is a super-3 number, since 3×1255661967560³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1255661967560.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147703310 + ... + 147711810.

It is an arithmetic number, because the mean of its divisors is an integer number (5495522760).

Almost surely, 2^{1255661967560} is an apocalyptic number.

1255661967560 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 1255661967560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110280739840).

1255661967560 is an abundant number, since it is smaller than the sum of its proper divisors (2964899512120).

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

1255661967560 is a wasteful number, since it uses less digits than its factorization.

1255661967560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8598 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 59.

The spelling of 1255661967560 in words is "one trillion, two hundred fifty-five billion, six hundred sixty-one million, nine hundred sixty-seven thousand, five hundred sixty".