4805075755872 has 288 divisors, whose sum is σ = 16504218188640. Its totient is φ = 1372877807616.

The previous prime is 4805075755849. The next prime is 4805075755913. The reversal of 4805075755872 is 2785575705084.

4805075755872 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 0 + 7 + 5 + 7 + 558 + 72 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2728608 + ... + 4129824.

It is an arithmetic number, because the mean of its divisors is an integer number (57306313155).

Almost surely, 2^{4805075755872} is an apocalyptic number.

4805075755872 is a gapful number since it is divisible by the number (42) 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 4805075755872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8252109094320).

4805075755872 is an abundant number, since it is smaller than the sum of its proper divisors (11699142432768).

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

4805075755872 is an equidigital number, since it uses as much as digits as its factorization.

4805075755872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401262 (or 1401229 counting only the distinct ones).

The product of its (nonzero) digits is 109760000, while the sum is 63.

The spelling of 4805075755872 in words is "four trillion, eight hundred five billion, seventy-five million, seven hundred fifty-five thousand, eight hundred seventy-two".