5632219555200 has 1152 divisors, whose sum is σ = 23263181061120. Its totient is φ = 1270943170560.

The previous prime is 5632219555199. The next prime is 5632219555213. The reversal of 5632219555200 is 25559122365.

It is a happy number.

5632219555200 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 2 + 1 + 95 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5824425117 + ... + 5824426083.

It is an arithmetic number, because the mean of its divisors is an integer number (20193733560).

Almost surely, 2^{5632219555200} is an apocalyptic number.

5632219555200 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 5632219555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631590530560).

5632219555200 is an abundant number, since it is smaller than the sum of its proper divisors (17630961505920).

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

5632219555200 is a wasteful number, since it uses less digits than its factorization.

5632219555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 5632219555200 in words is "five trillion, six hundred thirty-two billion, two hundred nineteen million, five hundred fifty-five thousand, two hundred".