255121152000 has 1536 divisors, whose sum is σ = 1050894673920. Its totient is φ = 54067200000.

The previous prime is 255121151983. The next prime is 255121152001. The reversal of 255121152000 is 251121552.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255121152001) 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, 2525951950 + ... + 2525952050.

It is an arithmetic number, because the mean of its divisors is an integer number (684176220).

Almost surely, 2^255121152000 is an apocalyptic number.

255121152000 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 255121152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525447336960).

255121152000 is an abundant number, since it is smaller than the sum of its proper divisors (795773521920).

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

255121152000 is a wasteful number, since it uses less digits than its factorization.

255121152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

Adding to 255121152000 its reverse (251121552), we get a palindrome (255372273552).

The spelling of 255121152000 in words is "two hundred fifty-five billion, one hundred twenty-one million, one hundred fifty-two thousand".