255216903840 has 768 divisors, whose sum is σ = 938076733440. Its totient is φ = 64761016320.

The previous prime is 255216903803. The next prime is 255216903841. The reversal of 255216903840 is 48309612552.

255216903840 is a `hidden beast` number, since 2 + 5 + 521 + 6 + 90 + 38 + 4 + 0 = 666.

255216903840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (255216903841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1948220575 + ... + 1948220705.

It is an arithmetic number, because the mean of its divisors is an integer number (1221454080).

Almost surely, 2^255216903840 is an apocalyptic number.

255216903840 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 255216903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469038366720).

255216903840 is an abundant number, since it is smaller than the sum of its proper divisors (682859829600).

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

255216903840 is a wasteful number, since it uses less digits than its factorization.

255216903840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 255216903840 in words is "two hundred fifty-five billion, two hundred sixteen million, nine hundred three thousand, eight hundred forty".