5935261516800 has 2112 divisors, whose sum is σ = 26516895381504. Its totient is φ = 1132933939200.

The previous prime is 5935261516787. The next prime is 5935261516819. The reversal of 5935261516800 is 86151625395.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4322840914 + ... + 4322842286.

It is an arithmetic number, because the mean of its divisors is an integer number (12555348192).

Almost surely, 2^{5935261516800} is an apocalyptic number.

5935261516800 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 5935261516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258447690752).

5935261516800 is an abundant number, since it is smaller than the sum of its proper divisors (20581633864704).

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

5935261516800 is a wasteful number, since it uses less digits than its factorization.

5935261516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 5935261516800 in words is "five trillion, nine hundred thirty-five billion, two hundred sixty-one million, five hundred sixteen thousand, eight hundred".