4956849185600 has 168 divisors, whose sum is σ = 13301446152960. Its totient is φ = 1807053281280.

The previous prime is 4956849185599. The next prime is 4956849185611. The reversal of 4956849185600 is 65819486594.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134909 + ... + 3151491.

It is an arithmetic number, because the mean of its divisors is an integer number (79175274720).

Almost surely, 2^{4956849185600} is an apocalyptic number.

4956849185600 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 4956849185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650723076480).

4956849185600 is an abundant number, since it is smaller than the sum of its proper divisors (8344596967360).

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

4956849185600 is a wasteful number, since it uses less digits than its factorization.

4956849185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016697 (or 3016682 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 65.

The spelling of 4956849185600 in words is "four trillion, nine hundred fifty-six billion, eight hundred forty-nine million, one hundred eighty-five thousand, six hundred".