4855665346560 has 1344 divisors, whose sum is σ = 20437307130240. Its totient is φ = 1083553873920.

The previous prime is 4855665346549. The next prime is 4855665346591. The reversal of 4855665346560 is 656435665584.

4855665346560 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 6 + 65 + 3 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2246951880 + ... + 2246954040.

It is an arithmetic number, because the mean of its divisors is an integer number (15206329710).

Almost surely, 2^{4855665346560} is an apocalyptic number.

4855665346560 is a gapful number since it is divisible by the number (40) 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 4855665346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10218653565120).

4855665346560 is an abundant number, since it is smaller than the sum of its proper divisors (15581641783680).

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

4855665346560 is an equidigital number, since it uses as much as digits as its factorization.

4855665346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 63.

The spelling of 4855665346560 in words is "four trillion, eight hundred fifty-five billion, six hundred sixty-five million, three hundred forty-six thousand, five hundred sixty".