254755220000 has 270 divisors, whose sum is σ = 649474138467. Its totient is φ = 98333088000.

The previous prime is 254755219993. The next prime is 254755220003. The reversal of 254755220000 is 22557452.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 58899406864 + 195855813136 = 242692^2 + 442556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=356900.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254755220003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3069339959 + ... + 3069340041.

Almost surely, 2^254755220000 is an apocalyptic number.

254755220000 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 254755220000

254755220000 is an abundant number, since it is smaller than the sum of its proper divisors (394718918467).

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

254755220000 is an frugal number, since it uses more digits than its factorization.

254755220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

Multiplying 254755220000 by its sum of digits (32), we get a square (8152167040000 = 2855200²).

254755220000 divided by its sum of digits (32) gives a square (7961100625 = 89225²).

Adding to 254755220000 its reverse (22557452), we get a palindrome (254777777452).

The spelling of 254755220000 in words is "two hundred fifty-four billion, seven hundred fifty-five million, two hundred twenty thousand".