47541265200 has 1200 divisors, whose sum is σ = 207542049792. Its totient is φ = 10264320000.

The previous prime is 47541265199. The next prime is 47541265229. The reversal of 47541265200 is 256214574.

It is a happy number.

47541265200 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 126 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 143629035 + ... + 143629365.

Almost surely, 2^47541265200 is an apocalyptic number.

47541265200 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 47541265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103771024896).

47541265200 is an abundant number, since it is smaller than the sum of its proper divisors (160000784592).

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

47541265200 is a wasteful number, since it uses less digits than its factorization.

47541265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 47541265200 its reverse (256214574), we get a palindrome (47797479774).

The spelling of 47541265200 in words is "forty-seven billion, five hundred forty-one million, two hundred sixty-five thousand, two hundred".