5341896345600 has 1080 divisors, whose sum is σ = 21022260329070. Its totient is φ = 1340410429440.

The previous prime is 5341896345547. The next prime is 5341896345607. The reversal of 5341896345600 is 65436981435.

5341896345600 is a `hidden beast` number, since 5 + 3 + 4 + 18 + 9 + 63 + 4 + 560 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1958297969664 + 3383598375936 = 1399392^2 + 1839456^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (5341896345607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1198538572 + ... + 1198543028.

Almost surely, 2^{5341896345600} is an apocalyptic number.

5341896345600 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 5341896345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10511130164535).

5341896345600 is an abundant number, since it is smaller than the sum of its proper divisors (15680363983470).

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

5341896345600 is a wasteful number, since it uses less digits than its factorization.

5341896345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5341896345600 in words is "five trillion, three hundred forty-one billion, eight hundred ninety-six million, three hundred forty-five thousand, six hundred".