255201652332000 has 576 divisors, whose sum is σ = 988481667595968. Its totient is φ = 61839912960000.

The previous prime is 255201652331987. The next prime is 255201652332001. The reversal of 255201652332000 is 233256102552.

255201652332000 is a `hidden beast` number, since 2 + 55 + 201 + 65 + 23 + 320 + 0 + 0 = 666.

It is a super-3 number, since 3×255201652332000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255201652332001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 909471720 + ... + 909752280.

It is an arithmetic number, because the mean of its divisors is an integer number (1716114006243).

Almost surely, 2^{255201652332000} is an apocalyptic number.

255201652332000 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 255201652332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494240833797984).

255201652332000 is an abundant number, since it is smaller than the sum of its proper divisors (733280015263968).

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

255201652332000 is a wasteful number, since it uses less digits than its factorization.

255201652332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282900 (or 282879 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 255201652332000 in words is "two hundred fifty-five trillion, two hundred one billion, six hundred fifty-two million, three hundred thirty-two thousand".