255605415360 has 224 divisors, whose sum is σ = 842242501440. Its totient is φ = 65598554112.

The previous prime is 255605415319. The next prime is 255605415361. The reversal of 255605415360 is 63514506552.

It is a super-2 number, since 2×255605415360² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255605415361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8699254 + ... + 8728586.

Almost surely, 2^255605415360 is an apocalyptic number.

255605415360 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 255605415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421121250720).

255605415360 is an abundant number, since it is smaller than the sum of its proper divisors (586637086080).

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

255605415360 is a wasteful number, since it uses less digits than its factorization.

255605415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29695 (or 29685 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 255605415360 in words is "two hundred fifty-five billion, six hundred five million, four hundred fifteen thousand, three hundred sixty".