4858793164800 has 1026 divisors, whose sum is σ = 18233702568978. Its totient is φ = 1284211998720.

The previous prime is 4858793164769. The next prime is 4858793164867. The reversal of 4858793164800 is 84613978584.

4858793164800 is a `hidden beast` number, since 4 + 8 + 58 + 7 + 93 + 16 + 480 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27518828544 + 4831274336256 = 165888^2 + 2198016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 42998169544 + ... + 42998169656.

Almost surely, 2^{4858793164800} is an apocalyptic number.

4858793164800 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 4858793164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116851284489).

4858793164800 is an abundant number, since it is smaller than the sum of its proper divisors (13374909404178).

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

4858793164800 is an frugal number, since it uses more digits than its factorization.

4858793164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 4858793164800 in words is "four trillion, eight hundred fifty-eight billion, seven hundred ninety-three million, one hundred sixty-four thousand, eight hundred".