47527603200 has 2112 divisors, whose sum is σ = 233927884800. Its totient is φ = 9157017600.

The previous prime is 47527603199. The next prime is 47527603237. The reversal of 47527603200 is 230672574.

It is a happy number.

47527603200 is a `hidden beast` number, since 4 + 7 + 5 + 27 + 603 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 1011225577 + ... + 1011225623.

Almost surely, 2^47527603200 is an apocalyptic number.

47527603200 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 47527603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116963942400).

47527603200 is an abundant number, since it is smaller than the sum of its proper divisors (186400281600).

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

47527603200 is a wasteful number, since it uses less digits than its factorization.

47527603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

It can be divided in two parts, 4752 and 7603200, that multiplied together give a square (36130406400 = 190080²).

The spelling of 47527603200 in words is "forty-seven billion, five hundred twenty-seven million, six hundred three thousand, two hundred".