47875903200 has 576 divisors, whose sum is σ = 184437570240. Its totient is φ = 11943936000.

The previous prime is 47875903199. The next prime is 47875903223. The reversal of 47875903200 is 230957874.

47875903200 is a `hidden beast` number, since 478 + 75 + 90 + 3 + 20 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88494930 + ... + 88495470.

It is an arithmetic number, because the mean of its divisors is an integer number (320204115).

Almost surely, 2^47875903200 is an apocalyptic number.

47875903200 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 47875903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92218785120).

47875903200 is an abundant number, since it is smaller than the sum of its proper divisors (136561667040).

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

47875903200 is a wasteful number, since it uses less digits than its factorization.

47875903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47875903200 in words is "forty-seven billion, eight hundred seventy-five million, nine hundred three thousand, two hundred".