47884569120 has 1344 divisors, whose sum is σ = 199900431360. Its totient is φ = 10749542400.

The previous prime is 47884569113. The next prime is 47884569127. The reversal of 47884569120 is 2196548874.

It is a happy number.

47884569120 is a `hidden beast` number, since 4 + 7 + 88 + 456 + 91 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (47884569113) and next prime (47884569127).

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

It is not an unprimeable number, because it can be changed into a prime (47884569127) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1167916300 + ... + 1167916340.

It is an arithmetic number, because the mean of its divisors is an integer number (148735440).

Almost surely, 2^47884569120 is an apocalyptic number.

47884569120 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 47884569120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99950215680).

47884569120 is an abundant number, since it is smaller than the sum of its proper divisors (152015862240).

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

47884569120 is a wasteful number, since it uses less digits than its factorization.

47884569120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 47884569120 in words is "forty-seven billion, eight hundred eighty-four million, five hundred sixty-nine thousand, one hundred twenty".