4891005664560 has 120 divisors (see below), whose sum is σ = 16426031107200. Its totient is φ = 1304236118016.

The previous prime is 4891005664549. The next prime is 4891005664621. The reversal of 4891005664560 is 654665001984.

4891005664560 is a `hidden beast` number, since 4 + 8 + 9 + 10 + 0 + 5 + 6 + 64 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 4891005664497 and 4891005664506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50479041 + ... + 50575839.

It is an arithmetic number, because the mean of its divisors is an integer number (136883592560).

Almost surely, 2^{4891005664560} is an apocalyptic number.

4891005664560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4891005664560 is an abundant number, since it is smaller than the sum of its proper divisors (11535025442640).

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

4891005664560 is a wasteful number, since it uses less digits than its factorization.

4891005664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166995 (or 166986 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4891005664560 in words is "four trillion, eight hundred ninety-one billion, five million, six hundred sixty-four thousand, five hundred sixty".