255830648832 has 576 divisors, whose sum is σ = 885404520000. Its totient is φ = 72937635840.

The previous prime is 255830648813. The next prime is 255830648833. The reversal of 255830648832 is 238846038552.

It is a happy number.

255830648832 is a `hidden beast` number, since 2 + 55 + 83 + 0 + 6 + 488 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (255830648833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93061794 + ... + 93064542.

It is an arithmetic number, because the mean of its divisors is an integer number (1537160625).

Almost surely, 2^255830648832 is an apocalyptic number.

255830648832 is a gapful number since it is divisible by the number (22) 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 255830648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442702260000).

255830648832 is an abundant number, since it is smaller than the sum of its proper divisors (629573871168).

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

255830648832 is a wasteful number, since it uses less digits than its factorization.

255830648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 255830648832 in words is "two hundred fifty-five billion, eight hundred thirty million, six hundred forty-eight thousand, eight hundred thirty-two".