47813220000 has 1440 divisors, whose sum is σ = 219878366400. Its totient is φ = 10015488000.

The previous prime is 47813219989. The next prime is 47813220023. The reversal of 47813220000 is 2231874.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×47813220000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 343979931 + ... + 343980069.

It is an arithmetic number, because the mean of its divisors is an integer number (152693310).

Almost surely, 2^47813220000 is an apocalyptic number.

47813220000 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 47813220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109939183200).

47813220000 is an abundant number, since it is smaller than the sum of its proper divisors (172065146400).

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

47813220000 is a wasteful number, since it uses less digits than its factorization.

47813220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 47813220000 its reverse (2231874), we get a palindrome (47815451874).

The spelling of 47813220000 in words is "forty-seven billion, eight hundred thirteen million, two hundred twenty thousand".