47833428820800 has 1344 divisors, whose sum is σ = 184115920271360. Its totient is φ = 10647780065280.

The previous prime is 47833428820769. The next prime is 47833428820847. The reversal of 47833428820800 is 802882433874.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×47833428820800³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104668334172 + ... + 104668334628.

Almost surely, 2^{47833428820800} is an apocalyptic number.

47833428820800 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 47833428820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92057960135680).

47833428820800 is an abundant number, since it is smaller than the sum of its proper divisors (136282491450560).

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

47833428820800 is a wasteful number, since it uses less digits than its factorization.

47833428820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 47833428820800 in words is "forty-seven trillion, eight hundred thirty-three billion, four hundred twenty-eight million, eight hundred twenty thousand, eight hundred".