6282252250560 has 1344 divisors, whose sum is σ = 26489930987520. Its totient is φ = 1405398159360.

The previous prime is 6282252250513. The next prime is 6282252250619. The reversal of 6282252250560 is 650522522826.

6282252250560 is a `hidden beast` number, since 6 + 2 + 8 + 22 + 522 + 50 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1879224249 + ... + 1879227591.

It is an arithmetic number, because the mean of its divisors is an integer number (19709770080).

Almost surely, 2^{6282252250560} is an apocalyptic number.

6282252250560 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 6282252250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13244965493760).

6282252250560 is an abundant number, since it is smaller than the sum of its proper divisors (20207678736960).

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

6282252250560 is a wasteful number, since it uses less digits than its factorization.

6282252250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 6282252250560 in words is "six trillion, two hundred eighty-two billion, two hundred fifty-two million, two hundred fifty thousand, five hundred sixty".