47788876800000 has 4032 divisors, whose sum is σ = 220603454225280. Its totient is φ = 10156769280000.

The previous prime is 47788876799953. The next prime is 47788876800019. The reversal of 47788876800000 is 867888774.

47788876800000 is a `hidden beast` number, since 477 + 8 + 8 + 87 + 6 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 575769599959 + ... + 575769600041.

It is an arithmetic number, because the mean of its divisors is an integer number (54713158290).

Almost surely, 2^{47788876800000} is an apocalyptic number.

47788876800000 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 47788876800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110301727112640).

47788876800000 is an abundant number, since it is smaller than the sum of its proper divisors (172814577425280).

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

47788876800000 is an frugal number, since it uses more digits than its factorization.

47788876800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 47788876800000 in words is "forty-seven trillion, seven hundred eighty-eight billion, eight hundred seventy-six million, eight hundred thousand".