6285963290880 has 864 divisors, whose sum is σ = 25624952204544. Its totient is φ = 1301218394112.

The previous prime is 6285963290833. The next prime is 6285963290951. The reversal of 6285963290880 is 880923695826.

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, 129617997 + ... + 129666483.

It is an arithmetic number, because the mean of its divisors is an integer number (29658509496).

Almost surely, 2^{6285963290880} is an apocalyptic number.

6285963290880 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 6285963290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812476102272).

6285963290880 is an abundant number, since it is smaller than the sum of its proper divisors (19338988913664).

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

6285963290880 is a wasteful number, since it uses less digits than its factorization.

6285963290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48591 (or 48570 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 6285963290880 in words is "six trillion, two hundred eighty-five billion, nine hundred sixty-three million, two hundred ninety thousand, eight hundred eighty".