255153242344000 has 896 divisors, whose sum is σ = 849913954606080. Its totient is φ = 73280397312000.

The previous prime is 255153242343929. The next prime is 255153242344001. The reversal of 255153242344000 is 443242351552.

255153242344000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255153242344000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (255153242344001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4556524002 + ... + 4556579998.

It is an arithmetic number, because the mean of its divisors is an integer number (948564681480).

Almost surely, 2^{255153242344000} is an apocalyptic number.

255153242344000 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 255153242344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424956977303040).

255153242344000 is an abundant number, since it is smaller than the sum of its proper divisors (594760712262080).

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

255153242344000 is a wasteful number, since it uses less digits than its factorization.

255153242344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56624 (or 56604 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 255153242344000 its reverse (443242351552), we get a palindrome (255596484695552).

The spelling of 255153242344000 in words is "two hundred fifty-five trillion, one hundred fifty-three billion, two hundred forty-two million, three hundred forty-four thousand".