47608225200 has 480 divisors, whose sum is σ = 178282874880. Its totient is φ = 12049689600.

The previous prime is 47608225199. The next prime is 47608225201. The reversal of 47608225200 is 252280674.

47608225200 is a `hidden beast` number, since 4 + 7 + 608 + 2 + 25 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47608225199) and next prime (47608225201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47608225201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17743059 + ... + 17745741.

It is an arithmetic number, because the mean of its divisors is an integer number (371422656).

Almost surely, 2^47608225200 is an apocalyptic number.

47608225200 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 47608225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89141437440).

47608225200 is an abundant number, since it is smaller than the sum of its proper divisors (130674649680).

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

47608225200 is a wasteful number, since it uses less digits than its factorization.

47608225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 47608225200 in words is "forty-seven billion, six hundred eight million, two hundred twenty-five thousand, two hundred".