5959804095440 has 320 divisors, whose sum is σ = 15960590956800. Its totient is φ = 2051404185600.

The previous prime is 5959804095361. The next prime is 5959804095461. The reversal of 5959804095440 is 445904089595.

It is a Cunningham number, because it is equal to 2441271²-1.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 371065010 + ... + 371081070.

It is an arithmetic number, because the mean of its divisors is an integer number (49876846740).

Almost surely, 2^{5959804095440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5959804095440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980295478400).

5959804095440 is an abundant number, since it is smaller than the sum of its proper divisors (10000786861360).

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

5959804095440 is a wasteful number, since it uses less digits than its factorization.

5959804095440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16406 (or 16400 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 62.

The spelling of 5959804095440 in words is "five trillion, nine hundred fifty-nine billion, eight hundred four million, ninety-five thousand, four hundred forty".