47505225600 has 960 divisors, whose sum is σ = 203705526000. Its totient is φ = 10810920960.

The previous prime is 47505225587. The next prime is 47505225613. The reversal of 47505225600 is 652250574.

47505225600 is a `hidden beast` number, since 4 + 75 + 0 + 5 + 22 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47505225587) and next prime (47505225613).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 207446286 + ... + 207446514.

Almost surely, 2^47505225600 is an apocalyptic number.

47505225600 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 47505225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101852763000).

47505225600 is an abundant number, since it is smaller than the sum of its proper divisors (156200300400).

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

47505225600 is an equidigital number, since it uses as much as digits as its factorization.

47505225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 47505225600 in words is "forty-seven billion, five hundred five million, two hundred twenty-five thousand, six hundred".