2255178289560 has 512 divisors, whose sum is σ = 8171333222400. Its totient is φ = 487088640000.

The previous prime is 2255178289457. The next prime is 2255178289561. The reversal of 2255178289560 is 659828715522.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2255178289494 and 2255178289503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255178289561) 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 127 ways as a sum of consecutive naturals, for example, 231985500 + ... + 231995220.

It is an arithmetic number, because the mean of its divisors is an integer number (15959635200).

Almost surely, 2^{2255178289560} is an apocalyptic number.

2255178289560 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 2255178289560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085666611200).

2255178289560 is an abundant number, since it is smaller than the sum of its proper divisors (5916154932840).

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

2255178289560 is a wasteful number, since it uses less digits than its factorization.

2255178289560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9983 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 60.

The spelling of 2255178289560 in words is "two trillion, two hundred fifty-five billion, one hundred seventy-eight million, two hundred eighty-nine thousand, five hundred sixty".