255435248952 has 256 divisors, whose sum is σ = 775081843200. Its totient is φ = 78440586624.

The previous prime is 255435248923. The next prime is 255435248983. The reversal of 255435248952 is 259842534552.

255435248952 is a `hidden beast` number, since 2 + 5 + 543 + 5 + 2 + 4 + 8 + 95 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179000863 + ... + 179002289.

It is an arithmetic number, because the mean of its divisors is an integer number (3027663450).

Almost surely, 2^255435248952 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 255435248952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387540921600).

255435248952 is an abundant number, since it is smaller than the sum of its proper divisors (519646594248).

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

255435248952 is a wasteful number, since it uses less digits than its factorization.

255435248952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2232 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 54.

The spelling of 255435248952 in words is "two hundred fifty-five billion, four hundred thirty-five million, two hundred forty-eight thousand, nine hundred fifty-two".