47213324254800 has 360 divisors, whose sum is σ = 178790362496928. Its totient is φ = 11442314112000.

The previous prime is 47213324254781. The next prime is 47213324254801. The reversal of 47213324254800 is 845242331274.

47213324254800 is a `hidden beast` number, since 4 + 7 + 213 + 3 + 2 + 425 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47213324254801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136883359 + ... + 137227841.

Almost surely, 2^{47213324254800} is an apocalyptic number.

47213324254800 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 47213324254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89395181248464).

47213324254800 is an abundant number, since it is smaller than the sum of its proper divisors (131577038242128).

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

47213324254800 is a wasteful number, since it uses less digits than its factorization.

47213324254800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347979 (or 347965 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 47213324254800 in words is "forty-seven trillion, two hundred thirteen billion, three hundred twenty-four million, two hundred fifty-four thousand, eight hundred".