47270188828800 has 3840 divisors, whose sum is σ = 216813533760000. Its totient is φ = 10026844692480.

The previous prime is 47270188828777. The next prime is 47270188828859. The reversal of 47270188828800 is 882888107274.

47270188828800 is a `hidden beast` number, since 4 + 7 + 270 + 1 + 8 + 88 + 288 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 264079267111 + ... + 264079267289.

It is an arithmetic number, because the mean of its divisors is an integer number (56461857750).

Almost surely, 2^{47270188828800} is an apocalyptic number.

47270188828800 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 47270188828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108406766880000).

47270188828800 is an abundant number, since it is smaller than the sum of its proper divisors (169543344931200).

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

47270188828800 is a wasteful number, since it uses less digits than its factorization.

47270188828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 25690112, while the sum is 63.

The spelling of 47270188828800 in words is "forty-seven trillion, two hundred seventy billion, one hundred eighty-eight million, eight hundred twenty-eight thousand, eight hundred".