1255138515456 has 480 divisors, whose sum is σ = 4034654712000. Its totient is φ = 345313640448.

The previous prime is 1255138515413. The next prime is 1255138515523. The reversal of 1255138515456 is 6545158315521.

It is a junction number, because it is equal to n+sod(n) for n = 1255138515399 and 1255138515408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351063600 + ... + 1351064528.

It is an arithmetic number, because the mean of its divisors is an integer number (8405530650).

Almost surely, 2^{1255138515456} is an apocalyptic number.

1255138515456 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 1255138515456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017327356000).

1255138515456 is an abundant number, since it is smaller than the sum of its proper divisors (2779516196544).

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

1255138515456 is an equidigital number, since it uses as much as digits as its factorization.

1255138515456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1589 counting only the distinct ones).

The product of its digits is 3600000, while the sum is 51.

The spelling of 1255138515456 in words is "one trillion, two hundred fifty-five billion, one hundred thirty-eight million, five hundred fifteen thousand, four hundred fifty-six".