47121868800 has 576 divisors, whose sum is σ = 175488768000. Its totient is φ = 12392202240.

The previous prime is 47121868753. The next prime is 47121868813. The reversal of 47121868800 is 886812174.

47121868800 is a `hidden beast` number, since 471 + 21 + 86 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123033409 + ... + 123033791.

It is an arithmetic number, because the mean of its divisors is an integer number (304668000).

Almost surely, 2^47121868800 is an apocalyptic number.

47121868800 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 47121868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384000).

47121868800 is an abundant number, since it is smaller than the sum of its proper divisors (128366899200).

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

47121868800 is a wasteful number, since it uses less digits than its factorization.

47121868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 47121868800 in words is "forty-seven billion, one hundred twenty-one million, eight hundred sixty-eight thousand, eight hundred".