4758891112800 has 864 divisors, whose sum is σ = 19186093261440. Its totient is φ = 1128999859200.

The previous prime is 4758891112783. The next prime is 4758891112817. The reversal of 4758891112800 is 82111988574.

4758891112800 is a `hidden beast` number, since 47 + 588 + 9 + 1 + 1 + 12 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4758891112783) and next prime (4758891112817).

It is a tau number, because it is divible by the number of its divisors (864).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 524853867 + ... + 524862933.

It is an arithmetic number, because the mean of its divisors is an integer number (22206126460).

Almost surely, 2^{4758891112800} is an apocalyptic number.

4758891112800 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 4758891112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593046630720).

4758891112800 is an abundant number, since it is smaller than the sum of its proper divisors (14427202148640).

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

4758891112800 is a wasteful number, since it uses less digits than its factorization.

4758891112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 4758891112800 in words is "four trillion, seven hundred fifty-eight billion, eight hundred ninety-one million, one hundred twelve thousand, eight hundred".