47987283600 has 225 divisors, whose sum is σ = 172364140267. Its totient is φ = 12786094080.

The previous prime is 47987283541. The next prime is 47987283601. The reversal of 47987283600 is 638278974.

The square root of 47987283600 is 219060.

It is a perfect power (a square), and thus also a powerful number.

47987283600 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 7 + 28 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4449957264 + 43537326336 = 66708^2 + 208656^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47987283601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39430192 + ... + 39431408.

Almost surely, 2^47987283600 is an apocalyptic number.

47987283600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47987283600 is the 219060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47987283600

47987283600 is an abundant number, since it is smaller than the sum of its proper divisors (124376856667).

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

47987283600 is an equidigital number, since it uses as much as digits as its factorization.

47987283600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 47987283600 in words is "forty-seven billion, nine hundred eighty-seven million, two hundred eighty-three thousand, six hundred".