4785852024000 has 672 divisors, whose sum is σ = 17881082856000. Its totient is φ = 1220648140800.

The previous prime is 4785852023839. The next prime is 4785852024007. The reversal of 4785852024000 is 4202585874.

4785852024000 is a `hidden beast` number, since 4 + 7 + 8 + 585 + 20 + 2 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4785852024007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157160776 + ... + 157191224.

It is an arithmetic number, because the mean of its divisors is an integer number (26608754250).

Almost surely, 2^{4785852024000} is an apocalyptic number.

4785852024000 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 4785852024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8940541428000).

4785852024000 is an abundant number, since it is smaller than the sum of its proper divisors (13095230832000).

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

4785852024000 is a wasteful number, since it uses less digits than its factorization.

4785852024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30578 (or 30555 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 4785852024000 in words is "four trillion, seven hundred eighty-five billion, eight hundred fifty-two million, twenty-four thousand".