5532195146400 has 432 divisors, whose sum is σ = 22114229286240. Its totient is φ = 1290098534400.

The previous prime is 5532195146383. The next prime is 5532195146407. The reversal of 5532195146400 is 46415912355.

It is a happy number.

5532195146400 is a `hidden beast` number, since 5 + 53 + 2 + 195 + 1 + 4 + 6 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5532195146407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223015 + ... + 3333785.

It is an arithmetic number, because the mean of its divisors is an integer number (51190345570).

Almost surely, 2^{5532195146400} is an apocalyptic number.

5532195146400 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 5532195146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11057114643120).

5532195146400 is an abundant number, since it is smaller than the sum of its proper divisors (16582034139840).

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

5532195146400 is a wasteful number, since it uses less digits than its factorization.

5532195146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110829 (or 3110813 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 5532195146400 in words is "five trillion, five hundred thirty-two billion, one hundred ninety-five million, one hundred forty-six thousand, four hundred".