6302888613120 has 288 divisors, whose sum is σ = 22668223463424. Its totient is φ = 1478683238400.

The previous prime is 6302888613113. The next prime is 6302888613173. The reversal of 6302888613120 is 213168882036.

It is a super-2 number, since 2×6302888613120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6302888613120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097272 + ... + 3716151.

It is an arithmetic number, because the mean of its divisors is an integer number (78709109248).

Almost surely, 2^{6302888613120} is an apocalyptic number.

6302888613120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6302888613120 is an abundant number, since it is smaller than the sum of its proper divisors (16365334850304).

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

6302888613120 is a wasteful number, since it uses less digits than its factorization.

6302888613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813489 (or 4813475 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 6302888613120 in words is "six trillion, three hundred two billion, eight hundred eighty-eight million, six hundred thirteen thousand, one hundred twenty".