63141308889600 has 480 divisors, whose sum is σ = 209887076456640. Its totient is φ = 16732569600000.

The previous prime is 63141308889553. The next prime is 63141308889611. The reversal of 63141308889600 is 698880314136.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20627672070 + ... + 20627675130.

It is an arithmetic number, because the mean of its divisors is an integer number (437264742618).

Almost surely, 2^{63141308889600} is an apocalyptic number.

63141308889600 is a gapful number since it is divisible by the number (60) 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 63141308889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104943538228320).

63141308889600 is an abundant number, since it is smaller than the sum of its proper divisors (146745767567040).

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

63141308889600 is a wasteful number, since it uses less digits than its factorization.

63141308889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 63141308889600 in words is "sixty-three trillion, one hundred forty-one billion, three hundred eight million, eight hundred eighty-nine thousand, six hundred".