5228220434976 has 2304 divisors, whose sum is σ = 21492993392640. Its totient is φ = 1232166297600.

The previous prime is 5228220434971. The next prime is 5228220435013. The reversal of 5228220434976 is 6794340228225.

5228220434976 is a `hidden beast` number, since 5 + 2 + 2 + 8 + 220 + 4 + 349 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5228220434971) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19879165021 + ... + 19879165283.

It is an arithmetic number, because the mean of its divisors is an integer number (9328556160).

Almost surely, 2^{5228220434976} is an apocalyptic number.

5228220434976 is a gapful number since it is divisible by the number (56) 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 5228220434976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746496696320).

5228220434976 is an abundant number, since it is smaller than the sum of its proper divisors (16264772957664).

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

5228220434976 is a wasteful number, since it uses less digits than its factorization.

5228220434976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 5228220434976 in words is "five trillion, two hundred twenty-eight billion, two hundred twenty million, four hundred thirty-four thousand, nine hundred seventy-six".