255976980480 has 720 divisors, whose sum is σ = 1012475134944. Its totient is φ = 59265515520.

The previous prime is 255976980461. The next prime is 255976980487. The reversal of 255976980480 is 84089679552.

255976980480 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 76 + 9 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255976980487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162938095 + ... + 162939665.

Almost surely, 2^255976980480 is an apocalyptic number.

255976980480 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 255976980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506237567472).

255976980480 is an abundant number, since it is smaller than the sum of its proper divisors (756498154464).

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

255976980480 is a wasteful number, since it uses less digits than its factorization.

255976980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 255976980480 in words is "two hundred fifty-five billion, nine hundred seventy-six million, nine hundred eighty thousand, four hundred eighty".