47357502552800 has 144 divisors (see below), whose sum is σ = 126147646283904. Its totient is φ = 17217359040000.

The previous prime is 47357502552781. The next prime is 47357502552869. The reversal of 47357502552800 is 825520575374.

47357502552800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42312395 + ... + 43417205.

It is an arithmetic number, because the mean of its divisors is an integer number (876025321416).

Almost surely, 2^{47357502552800} is an apocalyptic number.

47357502552800 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 47357502552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63073823141952).

47357502552800 is an abundant number, since it is smaller than the sum of its proper divisors (78790143731104).

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

47357502552800 is a wasteful number, since it uses less digits than its factorization.

47357502552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109713 (or 1109700 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 53.

The spelling of 47357502552800 in words is "forty-seven trillion, three hundred fifty-seven billion, five hundred two million, five hundred fifty-two thousand, eight hundred".