4856638594080 has 768 divisors, whose sum is σ = 19153277853696. Its totient is φ = 1007130378240.

The previous prime is 4856638593977. The next prime is 4856638594097. The reversal of 4856638594080 is 804958366584.

It is a super-2 number, since 2×4856638594080² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1076141904 + ... + 1076146416.

It is an arithmetic number, because the mean of its divisors is an integer number (24939163872).

Almost surely, 2^{4856638594080} is an apocalyptic number.

4856638594080 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 4856638594080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576638926848).

4856638594080 is an abundant number, since it is smaller than the sum of its proper divisors (14296639259616).

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

4856638594080 is a wasteful number, since it uses less digits than its factorization.

4856638594080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 66.

The spelling of 4856638594080 in words is "four trillion, eight hundred fifty-six billion, six hundred thirty-eight million, five hundred ninety-four thousand, eighty".