255564513600 has 336 divisors, whose sum is σ = 916941032256. Its totient is φ = 61802496000.

The previous prime is 255564513599. The next prime is 255564513601. The reversal of 255564513600 is 6315465552.

It is an interprime number because it is at equal distance from previous prime (255564513599) and next prime (255564513601).

It is a super-2 number, since 2×255564513600² (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 (255564513601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22223052 + ... + 22234548.

Almost surely, 2^255564513600 is an apocalyptic number.

255564513600 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 255564513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458470516128).

255564513600 is an abundant number, since it is smaller than the sum of its proper divisors (661376518656).

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

255564513600 is a wasteful number, since it uses less digits than its factorization.

255564513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954 (or 11939 counting only the distinct ones).

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

The spelling of 255564513600 in words is "two hundred fifty-five billion, five hundred sixty-four million, five hundred thirteen thousand, six hundred".