1255347333504 has 384 divisors, whose sum is σ = 4164259507200. Its totient is φ = 359256268800.

The previous prime is 1255347333403. The next prime is 1255347333547. The reversal of 1255347333504 is 4053337435521.

1255347333504 is a `hidden beast` number, since 1 + 2 + 553 + 47 + 3 + 3 + 3 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1255347333504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22997764 + ... + 23052284.

It is an arithmetic number, because the mean of its divisors is an integer number (10844425800).

Almost surely, 2^{1255347333504} 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 1255347333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082129753600).

1255347333504 is an abundant number, since it is smaller than the sum of its proper divisors (2908912173696).

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

1255347333504 is a wasteful number, since it uses less digits than its factorization.

1255347333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54654 (or 54639 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

It can be divided in two parts, 1255347 and 333504, that added together give a palindrome (1588851).

The spelling of 1255347333504 in words is "one trillion, two hundred fifty-five billion, three hundred forty-seven million, three hundred thirty-three thousand, five hundred four".