4896217497600 has 2592 divisors, whose sum is σ = 21865695755904. Its totient is φ = 1070176665600.

The previous prime is 4896217497599. The next prime is 4896217497601. The reversal of 4896217497600 is 67947126984.

4896217497600 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 2 + 17 + 4 + 9 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4896217497599) and next prime (4896217497601).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4896217497601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 113865523179 + ... + 113865523221.

It is an arithmetic number, because the mean of its divisors is an integer number (8435839412).

Almost surely, 2^{4896217497600} is an apocalyptic number.

4896217497600 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 4896217497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10932847877952).

4896217497600 is an abundant number, since it is smaller than the sum of its proper divisors (16969478258304).

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

4896217497600 is an equidigital number, since it uses as much as digits as its factorization.

4896217497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 4896217497600 in words is "four trillion, eight hundred ninety-six billion, two hundred seventeen million, four hundred ninety-seven thousand, six hundred".