47533424400000 has 5376 divisors, whose sum is σ = 232015387564800. Its totient is φ = 9405849600000.

The previous prime is 47533424399999. The next prime is 47533424400013. The reversal of 47533424400000 is 442433574.

47533424400000 is a `hidden beast` number, since 47 + 533 + 42 + 4 + 40 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 651142799964 + ... + 651142800036.

It is an arithmetic number, because the mean of its divisors is an integer number (43157624175).

Almost surely, 2^{47533424400000} is an apocalyptic number.

47533424400000 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 47533424400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116007693782400).

47533424400000 is an abundant number, since it is smaller than the sum of its proper divisors (184481963164800).

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

47533424400000 is an frugal number, since it uses more digits than its factorization.

47533424400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

Adding to 47533424400000 its reverse (442433574), we get a palindrome (47533866833574).

The spelling of 47533424400000 in words is "forty-seven trillion, five hundred thirty-three billion, four hundred twenty-four million, four hundred thousand".