255251077520 has 80 divisors (see below), whose sum is σ = 598011390000. Its totient is φ = 101318498304.

The previous prime is 255251077513. The next prime is 255251077531. The reversal of 255251077520 is 25770152552.

255251077520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 136760915344 + 118490162176 = 369812^2 + 344224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×255251077520² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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, 13209626 + ... + 13228934.

It is an arithmetic number, because the mean of its divisors is an integer number (7475142375).

Almost surely, 2^255251077520 is an apocalyptic number.

255251077520 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 255251077520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299005695000).

255251077520 is an abundant number, since it is smaller than the sum of its proper divisors (342760312480).

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

255251077520 is a wasteful number, since it uses less digits than its factorization.

255251077520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20580 (or 20574 counting only the distinct ones).

The product of its (nonzero) digits is 245000, while the sum is 41.

The spelling of 255251077520 in words is "two hundred fifty-five billion, two hundred fifty-one million, seventy-seven thousand, five hundred twenty".