48584679200 has 54 divisors (see below), whose sum is σ = 118622569779. Its totient is φ = 19431377920.

The previous prime is 48584679197. The next prime is 48584679203. The reversal of 48584679200 is 297648584.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (48584679197) and next prime (48584679203).

It can be written as a sum of positive squares in 5 ways, for example, as 44323723024 + 4260956176 = 210532^2 + 65276^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=155860.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48584679203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6230504 + ... + 6238296.

Almost surely, 2^48584679200 is an apocalyptic number.

48584679200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48584679200 is an abundant number, since it is smaller than the sum of its proper divisors (70037890579).

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

48584679200 is an frugal number, since it uses more digits than its factorization.

48584679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15606 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 48584679200 in words is "forty-eight billion, five hundred eighty-four million, six hundred seventy-nine thousand, two hundred".