256216341554550 has 432 divisors, whose sum is σ = 774176670146880. Its totient is φ = 62972601793920.

The previous prime is 256216341554479. The next prime is 256216341554623. The reversal of 256216341554550 is 55455143612652.

256216341554550 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 1 + 6 + 3 + 41 + 5 + 545 + 50 = 666.

It is a super-2 number, since 2×256216341554550² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 1353062977 + ... + 1353252323.

It is an arithmetic number, because the mean of its divisors is an integer number (1792075625340).

Almost surely, 2^{256216341554550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256216341554550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387088335073440).

256216341554550 is an abundant number, since it is smaller than the sum of its proper divisors (517960328592330).

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

256216341554550 is a wasteful number, since it uses less digits than its factorization.

256216341554550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190059 (or 190029 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 256216341554550 in words is "two hundred fifty-six trillion, two hundred sixteen billion, three hundred forty-one million, five hundred fifty-four thousand, five hundred fifty".