48580639200 has 432 divisors, whose sum is σ = 174708817920. Its totient is φ = 12700247040.

The previous prime is 48580639109. The next prime is 48580639243. The reversal of 48580639200 is 293608584.

48580639200 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 0 + 639 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126842209 + ... + 126842591.

It is an arithmetic number, because the mean of its divisors is an integer number (404418560).

Almost surely, 2^48580639200 is an apocalyptic number.

48580639200 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 48580639200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87354408960).

48580639200 is an abundant number, since it is smaller than the sum of its proper divisors (126128178720).

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

48580639200 is a wasteful number, since it uses less digits than its factorization.

48580639200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48580639200 in words is "forty-eight billion, five hundred eighty million, six hundred thirty-nine thousand, two hundred".