4813090725960 has 1024 divisors, whose sum is σ = 19367689420800. Its totient is φ = 1062637056000.

The previous prime is 4813090725917. The next prime is 4813090725997. The reversal of 4813090725960 is 695270903184.

4813090725960 is a `hidden beast` number, since 4 + 81 + 309 + 0 + 7 + 259 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4813090725897 and 4813090725906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 507116815 + ... + 507126305.

It is an arithmetic number, because the mean of its divisors is an integer number (18913759200).

It is a 1-persistent number, because it is pandigital, but 2⋅4813090725960 = 9626181451920 is not.

Almost surely, 2^{4813090725960} is an apocalyptic number.

4813090725960 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 4813090725960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683844710400).

4813090725960 is an abundant number, since it is smaller than the sum of its proper divisors (14554598694840).

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

4813090725960 is a wasteful number, since it uses less digits than its factorization.

4813090725960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9582 (or 9560 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 4813090725960 in words is "four trillion, eight hundred thirteen billion, ninety million, seven hundred twenty-five thousand, nine hundred sixty".