1255001340736 has 448 divisors, whose sum is σ = 3132807552000. Its totient is φ = 490358292480.

The previous prime is 1255001340701. The next prime is 1255001340737. The reversal of 1255001340736 is 6370431005521.

It is a junction number, because it is equal to n+sod(n) for n = 1255001340695 and 1255001340704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255001340737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3311348995 + ... + 3311349373.

It is an arithmetic number, because the mean of its divisors is an integer number (6992874000).

Almost surely, 2^{1255001340736} is an apocalyptic number.

1255001340736 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 1255001340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566403776000).

1255001340736 is an abundant number, since it is smaller than the sum of its proper divisors (1877806211264).

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

1255001340736 is a wasteful number, since it uses less digits than its factorization.

1255001340736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 1255001340736 in words is "one trillion, two hundred fifty-five billion, one million, three hundred forty thousand, seven hundred thirty-six".