5622352819200 has 1584 divisors, whose sum is σ = 23102043735680. Its totient is φ = 1345842708480.

The previous prime is 5622352819189. The next prime is 5622352819217. The reversal of 5622352819200 is 29182532265.

5622352819200 is a `hidden beast` number, since 5 + 622 + 3 + 5 + 2 + 8 + 19 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×5622352819200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2992203861 + ... + 2992205739.

Almost surely, 2^{5622352819200} is an apocalyptic number.

5622352819200 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 5622352819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551021867840).

5622352819200 is an abundant number, since it is smaller than the sum of its proper divisors (17479690916480).

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

5622352819200 is a wasteful number, since it uses less digits than its factorization.

5622352819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5622352819200 in words is "five trillion, six hundred twenty-two billion, three hundred fifty-two million, eight hundred nineteen thousand, two hundred".