47827122800 has 120 divisors (see below), whose sum is σ = 117203636880. Its totient is φ = 18750054400.

The previous prime is 47827122797. The next prime is 47827122809. The reversal of 47827122800 is 822172874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47827122809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8327930 + ... + 8333670.

It is an arithmetic number, because the mean of its divisors is an integer number (976696974).

Almost surely, 2^47827122800 is an apocalyptic number.

47827122800 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 47827122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58601818440).

47827122800 is an abundant number, since it is smaller than the sum of its proper divisors (69376514080).

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

47827122800 is a wasteful number, since it uses less digits than its factorization.

47827122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 41.

The spelling of 47827122800 in words is "forty-seven billion, eight hundred twenty-seven million, one hundred twenty-two thousand, eight hundred".