5222474956800 has 720 divisors, whose sum is σ = 19300575621600. Its totient is φ = 1384434892800.

The previous prime is 5222474956631. The next prime is 5222474956807. The reversal of 5222474956800 is 86594742225.

5222474956800 is a `hidden beast` number, since 5 + 2 + 2 + 2 + 4 + 74 + 9 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×5222474956800³ (a number of 39 digits) contains 333 as substring.

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 (5222474956807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2001713896 + ... + 2001716504.

It is an arithmetic number, because the mean of its divisors is an integer number (26806355030).

Almost surely, 2^{5222474956800} is an apocalyptic number.

5222474956800 is a gapful number since it is divisible by the number (50) 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 5222474956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650287810800).

5222474956800 is an abundant number, since it is smaller than the sum of its proper divisors (14078100664800).

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

5222474956800 is a wasteful number, since it uses less digits than its factorization.

5222474956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5222474956800 in words is "five trillion, two hundred twenty-two billion, four hundred seventy-four million, nine hundred fifty-six thousand, eight hundred".