5959778205696 has 512 divisors, whose sum is σ = 19170025574400. Its totient is φ = 1610077962240.

The previous prime is 5959778205611. The next prime is 5959778205701. The reversal of 5959778205696 is 6965028779595.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×5959778205696² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408595901 + ... + 1408600131.

It is an arithmetic number, because the mean of its divisors is an integer number (37441456200).

Almost surely, 2^{5959778205696} is an apocalyptic number.

5959778205696 is a gapful number since it is divisible by the number (56) 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 5959778205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585012787200).

5959778205696 is an abundant number, since it is smaller than the sum of its proper divisors (13210247368704).

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

5959778205696 is an equidigital number, since it uses as much as digits as its factorization.

5959778205696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 2571912000, while the sum is 78.

The spelling of 5959778205696 in words is "five trillion, nine hundred fifty-nine billion, seven hundred seventy-eight million, two hundred five thousand, six hundred ninety-six".