255231221760 has 672 divisors, whose sum is σ = 946751289120. Its totient is φ = 63380127744.

The previous prime is 255231221759. The next prime is 255231221771. The reversal of 255231221760 is 67122132552.

255231221760 is a `hidden beast` number, since 2 + 5 + 523 + 122 + 1 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×255231221760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871096174 + ... + 871096466.

It is an arithmetic number, because the mean of its divisors is an integer number (1408856085).

Almost surely, 2^255231221760 is an apocalyptic number.

255231221760 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 255231221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473375644560).

255231221760 is an abundant number, since it is smaller than the sum of its proper divisors (691520067360).

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

255231221760 is a wasteful number, since it uses less digits than its factorization.

255231221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 255231221760 in words is "two hundred fifty-five billion, two hundred thirty-one million, two hundred twenty-one thousand, seven hundred sixty".