255752640000 has 2400 divisors, whose sum is σ = 1172596449024. Its totient is φ = 54743040000.

The previous prime is 255752639993. The next prime is 255752640001. The reversal of 255752640000 is 46257552.

255752640000 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 5 + 2 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 (255752640001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11119679989 + ... + 11119680011.

Almost surely, 2^255752640000 is an apocalyptic number.

255752640000 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 255752640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586298224512).

255752640000 is an abundant number, since it is smaller than the sum of its proper divisors (916843809024).

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

255752640000 is an equidigital number, since it uses as much as digits as its factorization.

255752640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 255752640000 its reverse (46257552), we get a palindrome (255798897552).

The spelling of 255752640000 in words is "two hundred fifty-five billion, seven hundred fifty-two million, six hundred forty thousand".