47578525200 has 360 divisors, whose sum is σ = 177140745600. Its totient is φ = 12249377280.

The previous prime is 47578525177. The next prime is 47578525201. The reversal of 47578525200 is 252587574.

47578525200 is a `hidden beast` number, since 4 + 7 + 5 + 78 + 52 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (47578525201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2810361 + ... + 2827239.

Almost surely, 2^47578525200 is an apocalyptic number.

47578525200 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 47578525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88570372800).

47578525200 is an abundant number, since it is smaller than the sum of its proper divisors (129562220400).

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

47578525200 is a wasteful number, since it uses less digits than its factorization.

47578525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16941 (or 16918 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 47578525200 in words is "forty-seven billion, five hundred seventy-eight million, five hundred twenty-five thousand, two hundred".