4959751305600 has 6912 divisors, whose sum is σ = 26452006963200. Its totient is φ = 902961561600.

The previous prime is 4959751305577. The next prime is 4959751305653. The reversal of 4959751305600 is 65031579594.

4959751305600 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 75 + 1 + 3 + 0 + 560 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 (17) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 159991977585 + ... + 159991977615.

It is an arithmetic number, because the mean of its divisors is an integer number (3826968600).

Almost surely, 2^{4959751305600} is an apocalyptic number.

4959751305600 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 4959751305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226003481600).

4959751305600 is an abundant number, since it is smaller than the sum of its proper divisors (21492255657600).

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

4959751305600 is a wasteful number, since it uses less digits than its factorization.

4959751305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 4959751305600 in words is "four trillion, nine hundred fifty-nine billion, seven hundred fifty-one million, three hundred five thousand, six hundred".