4786553856000 has 1792 divisors, whose sum is σ = 19166883240960. Its totient is φ = 1038090240000.

The previous prime is 4786553855971. The next prime is 4786553856031. The reversal of 4786553856000 is 6583556874.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×4786553856000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53781503956 + ... + 53781504044.

It is an arithmetic number, because the mean of its divisors is an integer number (10695805380).

Almost surely, 2^{4786553856000} is an apocalyptic number.

4786553856000 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 4786553856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583441620480).

4786553856000 is an abundant number, since it is smaller than the sum of its proper divisors (14380329384960).

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

4786553856000 is an equidigital number, since it uses as much as digits as its factorization.

4786553856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 4786553856000 in words is "four trillion, seven hundred eighty-six billion, five hundred fifty-three million, eight hundred fifty-six thousand".