28180067301120 has 1152 divisors, whose sum is σ = 109739782139904. Its totient is φ = 6023570522112.

The previous prime is 28180067301107. The next prime is 28180067301131. The reversal of 28180067301120 is 2110376008182.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10387048884 + ... + 10387051596.

It is an arithmetic number, because the mean of its divisors is an integer number (95260227552).

Almost surely, 2^{28180067301120} is an apocalyptic number.

28180067301120 is a gapful number since it is divisible by the number (20) 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 28180067301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54869891069952).

28180067301120 is an abundant number, since it is smaller than the sum of its proper divisors (81559714838784).

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

28180067301120 is a wasteful number, since it uses less digits than its factorization.

28180067301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 28180067301120 in words is "twenty-eight trillion, one hundred eighty billion, sixty-seven million, three hundred one thousand, one hundred twenty".