255735537552 has 80 divisors (see below), whose sum is σ = 800788061760. Its totient is φ = 77495616000.

The previous prime is 255735537523. The next prime is 255735537559.

255735537552 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 3 + 55 + 37 + 552 = 666.

255735537552 is nontrivially palindromic in base 10.

255735537552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (255735537559) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26903449 + ... + 26912952.

It is an arithmetic number, because the mean of its divisors is an integer number (10009850772).

Almost surely, 2^255735537552 is an apocalyptic number.

255735537552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

255735537552 is an abundant number, since it is smaller than the sum of its proper divisors (545052524208).

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

255735537552 is a wasteful number, since it uses less digits than its factorization.

255735537552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53816429 (or 53816417 counting only the distinct ones).

The product of its digits is 27562500, while the sum is 54.

The spelling of 255735537552 in words is "two hundred fifty-five billion, seven hundred thirty-five million, five hundred thirty-seven thousand, five hundred fifty-two".