5948259640960 has 512 divisors, whose sum is σ = 18030164705280. Its totient is φ = 1825988935680.

The previous prime is 5948259640957. The next prime is 5948259640969. The reversal of 5948259640960 is 690469528495.

It is not an unprimeable number, because it can be changed into a prime (5948259640969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 726190465 + ... + 726198655.

It is an arithmetic number, because the mean of its divisors is an integer number (35215165440).

Almost surely, 2^{5948259640960} 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 5948259640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015082352640).

5948259640960 is an abundant number, since it is smaller than the sum of its proper divisors (12081905064320).

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

5948259640960 is a wasteful number, since it uses less digits than its factorization.

5948259640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 67.

The spelling of 5948259640960 in words is "five trillion, nine hundred forty-eight billion, two hundred fifty-nine million, six hundred forty thousand, nine hundred sixty".