1255604141568 has 320 divisors, whose sum is σ = 4020588380160. Its totient is φ = 340436017152.

The previous prime is 1255604141551. The next prime is 1255604141581. The reversal of 1255604141568 is 8651414065521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 31386603 + ... + 31426581.

It is an arithmetic number, because the mean of its divisors is an integer number (12564338688).

Almost surely, 2^{1255604141568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255604141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010294190080).

1255604141568 is an abundant number, since it is smaller than the sum of its proper divisors (2764984238592).

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

1255604141568 is a wasteful number, since it uses less digits than its factorization.

1255604141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40157 (or 40141 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 1255604141568 in words is "one trillion, two hundred fifty-five billion, six hundred four million, one hundred forty-one thousand, five hundred sixty-eight".