5963538681408 has 672 divisors, whose sum is σ = 21899609044992. Its totient is φ = 1394455265280.

The previous prime is 5963538681379. The next prime is 5963538681413. The reversal of 5963538681408 is 8041868353695.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63539091 + ... + 63632877.

It is an arithmetic number, because the mean of its divisors is an integer number (32588703936).

Almost surely, 2^{5963538681408} 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 5963538681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949804522496).

5963538681408 is an abundant number, since it is smaller than the sum of its proper divisors (15936070363584).

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

5963538681408 is a wasteful number, since it uses less digits than its factorization.

5963538681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93871 (or 93850 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 66.

The spelling of 5963538681408 in words is "five trillion, nine hundred sixty-three billion, five hundred thirty-eight million, six hundred eighty-one thousand, four hundred eight".