4754953255680 has 288 divisors, whose sum is σ = 16896040197120. Its totient is φ = 1266292224000.

The previous prime is 4754953255669. The next prime is 4754953255699. The reversal of 4754953255680 is 865523594574.

4754953255680 is a `hidden beast` number, since 4 + 7 + 5 + 49 + 5 + 3 + 25 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 25862959 + ... + 26046161.

It is an arithmetic number, because the mean of its divisors is an integer number (58666806240).

Almost surely, 2^{4754953255680} is an apocalyptic number.

4754953255680 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 4754953255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8448020098560).

4754953255680 is an abundant number, since it is smaller than the sum of its proper divisors (12141086941440).

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

4754953255680 is a wasteful number, since it uses less digits than its factorization.

4754953255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183984 (or 183964 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 4754953255680 in words is "four trillion, seven hundred fifty-four billion, nine hundred fifty-three million, two hundred fifty-five thousand, six hundred eighty".