4795486819600 has 135 divisors (see below), whose sum is σ = 11596671522309. Its totient is φ = 1905703766400.

The previous prime is 4795486819583. The next prime is 4795486819633. The reversal of 4795486819600 is 69186845974.

It is a happy number.

The square root of 4795486819600 is 2189860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1726375255056 + 3069111564544 = 1313916^2 + 1751888^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 9766775355 + ... + 9766775845.

Almost surely, 2^{4795486819600} is an apocalyptic number.

4795486819600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4795486819600 is the 2189860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4795486819600

4795486819600 is an abundant number, since it is smaller than the sum of its proper divisors (6801184702709).

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

4795486819600 is an frugal number, since it uses more digits than its factorization.

4795486819600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 67.

The spelling of 4795486819600 in words is "four trillion, seven hundred ninety-five billion, four hundred eighty-six million, eight hundred nineteen thousand, six hundred".