255995823014400 has 480 divisors, whose sum is σ = 969563759269248. Its totient is φ = 58326368256000.

The previous prime is 255995823014383. The next prime is 255995823014423. The reversal of 255995823014400 is 4410328599552.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×255995823014400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 82613050 + ... + 85655750.

Almost surely, 2^{255995823014400} is an apocalyptic number.

255995823014400 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 255995823014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484781879634624).

255995823014400 is an abundant number, since it is smaller than the sum of its proper divisors (713567936254848).

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

255995823014400 is a wasteful number, since it uses less digits than its factorization.

255995823014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043052 (or 3043031 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 255995823014400 in words is "two hundred fifty-five trillion, nine hundred ninety-five billion, eight hundred twenty-three million, fourteen thousand, four hundred".