48150201600 has 864 divisors, whose sum is σ = 192433933440. Its totient is φ = 11731599360.

The previous prime is 48150201571. The next prime is 48150201611. The reversal of 48150201600 is 610205184.

48150201600 is a `hidden beast` number, since 4 + 8 + 1 + 50 + 2 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 108690979 + ... + 108691421.

It is an arithmetic number, because the mean of its divisors is an integer number (222724460).

Almost surely, 2^48150201600 is an apocalyptic number.

48150201600 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 48150201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96216966720).

48150201600 is an abundant number, since it is smaller than the sum of its proper divisors (144283731840).

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

48150201600 is a wasteful number, since it uses less digits than its factorization.

48150201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 48150201600 its reverse (610205184), we get a palindrome (48760406784).

The spelling of 48150201600 in words is "forty-eight billion, one hundred fifty million, two hundred one thousand, six hundred".