255288749760000 has 4000 divisors, whose sum is σ = 1135964315059200. Its totient is φ = 56335564800000.

The previous prime is 255288749759957. The next prime is 255288749760047. The reversal of 255288749760000 is 67947882552.

255288749760000 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 8 + 87 + 497 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4000).

It is a self number, because there is not a number n which added to its sum of digits gives 255288749760000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 150258239151 + ... + 150258240849.

Almost surely, 2^{255288749760000} is an apocalyptic number.

255288749760000 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 255288749760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567982157529600).

255288749760000 is an abundant number, since it is smaller than the sum of its proper divisors (880675565299200).

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

255288749760000 is a wasteful number, since it uses less digits than its factorization.

255288749760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 255288749760000 in words is "two hundred fifty-five trillion, two hundred eighty-eight billion, seven hundred forty-nine million, seven hundred sixty thousand".