48029995200 has 336 divisors, whose sum is σ = 174482296704. Its totient is φ = 11469004800.

The previous prime is 48029995187. The next prime is 48029995241. The reversal of 48029995200 is 259992084.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48029995200.

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 47 ways as a sum of consecutive naturals, for example, 3530812 + ... + 3544388.

Almost surely, 2^48029995200 is an apocalyptic number.

48029995200 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 48029995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87241148352).

48029995200 is an abundant number, since it is smaller than the sum of its proper divisors (126452301504).

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

48029995200 is a wasteful number, since it uses less digits than its factorization.

48029995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13680 (or 13665 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 48029995200 in words is "forty-eight billion, twenty-nine million, nine hundred ninety-five thousand, two hundred".