255350221410504 has 256 divisors, whose sum is σ = 715324668549120. Its totient is φ = 75287520000000.

The previous prime is 255350221410491. The next prime is 255350221410541. The reversal of 255350221410504 is 405014122053552.

255350221410504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×255350221410504³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 17548630029 + ... + 17548644579.

It is an arithmetic number, because the mean of its divisors is an integer number (2794236986520).

Almost surely, 2^{255350221410504} is an apocalyptic number.

255350221410504 is a gapful number since it is divisible by the number (24) 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 255350221410504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357662334274560).

255350221410504 is an abundant number, since it is smaller than the sum of its proper divisors (459974447138616).

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

255350221410504 is a wasteful number, since it uses less digits than its factorization.

255350221410504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18884 (or 18880 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 255350221410504 in words is "two hundred fifty-five trillion, three hundred fifty billion, two hundred twenty-one million, four hundred ten thousand, five hundred four".