47888755200 has 2400 divisors, whose sum is σ = 232078271040. Its totient is φ = 9555148800.

The previous prime is 47888755177. The next prime is 47888755253. The reversal of 47888755200 is 255788874.

47888755200 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 87 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2520460791 + ... + 2520460809.

Almost surely, 2^47888755200 is an apocalyptic number.

47888755200 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 47888755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116039135520).

47888755200 is an abundant number, since it is smaller than the sum of its proper divisors (184189515840).

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

47888755200 is a wasteful number, since it uses less digits than its factorization.

47888755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 47888755200 in words is "forty-seven billion, eight hundred eighty-eight million, seven hundred fifty-five thousand, two hundred".