4785960816000 has 2560 divisors, whose sum is σ = 22098728171520. Its totient is φ = 1003738521600.

The previous prime is 4785960815959. The next prime is 4785960816011. The reversal of 4785960816000 is 6180695874.

4785960816000 is a `hidden beast` number, since 47 + 8 + 596 + 0 + 8 + 1 + 6 + 0 + 0 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 28658447917 + ... + 28658448083.

It is an arithmetic number, because the mean of its divisors is an integer number (8632315692).

Almost surely, 2^{4785960816000} is an apocalyptic number.

4785960816000 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 4785960816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049364085760).

4785960816000 is an abundant number, since it is smaller than the sum of its proper divisors (17312767355520).

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

4785960816000 is an frugal number, since it uses more digits than its factorization.

4785960816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 4785960816000 in words is "four trillion, seven hundred eighty-five billion, nine hundred sixty million, eight hundred sixteen thousand".