255171438720 has 384 divisors, whose sum is σ = 962224099200. Its totient is φ = 61796597760.

The previous prime is 255171438719. The next prime is 255171438853. The reversal of 255171438720 is 27834171552.

255171438720 is a `hidden beast` number, since 2 + 551 + 7 + 14 + 3 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×255171438720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 101944989 + ... + 101947491.

It is an arithmetic number, because the mean of its divisors is an integer number (2505791925).

Almost surely, 2^255171438720 is an apocalyptic number.

255171438720 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 255171438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481112049600).

255171438720 is an abundant number, since it is smaller than the sum of its proper divisors (707052660480).

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

255171438720 is a wasteful number, since it uses less digits than its factorization.

255171438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 255171438720 in words is "two hundred fifty-five billion, one hundred seventy-one million, four hundred thirty-eight thousand, seven hundred twenty".