255532979520 has 672 divisors, whose sum is σ = 1084708584960. Its totient is φ = 53767618560.

The previous prime is 255532979473. The next prime is 255532979521. The reversal of 255532979520 is 25979235552.

255532979520 is a `hidden beast` number, since 2 + 55 + 532 + 9 + 7 + 9 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255532979521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115052010 + ... + 115054230.

It is an arithmetic number, because the mean of its divisors is an integer number (1614149680).

Almost surely, 2^255532979520 is an apocalyptic number.

255532979520 is a gapful number since it is divisible by the number (20) 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 255532979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542354292480).

255532979520 is an abundant number, since it is smaller than the sum of its proper divisors (829175605440).

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

255532979520 is a wasteful number, since it uses less digits than its factorization.

255532979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 54.

The spelling of 255532979520 in words is "two hundred fifty-five billion, five hundred thirty-two million, nine hundred seventy-nine thousand, five hundred twenty".