255765744000 has 768 divisors, whose sum is σ = 994596744960. Its totient is φ = 62613504000.

The previous prime is 255765743963. The next prime is 255765744097. The reversal of 255765744000 is 447567552.

255765744000 is a `hidden beast` number, since 2 + 5 + 5 + 76 + 574 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×255765744000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 593423785 + ... + 593424215.

It is an arithmetic number, because the mean of its divisors is an integer number (1295047845).

Almost surely, 2^255765744000 is an apocalyptic number.

255765744000 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 255765744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497298372480).

255765744000 is an abundant number, since it is smaller than the sum of its proper divisors (738831000960).

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

255765744000 is a wasteful number, since it uses less digits than its factorization.

255765744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 255765744000 in words is "two hundred fifty-five billion, seven hundred sixty-five million, seven hundred forty-four thousand".