1255774806720 has 1344 divisors, whose sum is σ = 5534680320000. Its totient is φ = 260014841856.

The previous prime is 1255774806679. The next prime is 1255774806763. The reversal of 1255774806720 is 276084775521.

1255774806720 is a `hidden beast` number, since 1 + 2 + 5 + 577 + 4 + 8 + 0 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 431684626 + ... + 431687534.

Almost surely, 2^{1255774806720} is an apocalyptic number.

1255774806720 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 1255774806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767340160000).

1255774806720 is an abundant number, since it is smaller than the sum of its proper divisors (4278905513280).

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

1255774806720 is a wasteful number, since it uses less digits than its factorization.

1255774806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 1255774806720 in words is "one trillion, two hundred fifty-five billion, seven hundred seventy-four million, eight hundred six thousand, seven hundred twenty".