47135995200 has 1344 divisors, whose sum is σ = 213074219520. Its totient is φ = 9891348480.

The previous prime is 47135995187. The next prime is 47135995201. The reversal of 47135995200 is 259953174.

It is a happy number.

47135995200 is a `hidden beast` number, since 4 + 7 + 1 + 3 + 599 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47135995201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 272462314 + ... + 272462486.

Almost surely, 2^47135995200 is an apocalyptic number.

47135995200 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 47135995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106537109760).

47135995200 is an abundant number, since it is smaller than the sum of its proper divisors (165938224320).

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

47135995200 is a wasteful number, since it uses less digits than its factorization.

47135995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 47135995200 in words is "forty-seven billion, one hundred thirty-five million, nine hundred ninety-five thousand, two hundred".