1282530098304 has 512 divisors, whose sum is σ = 4757940633600. Its totient is φ = 331049078784.

The previous prime is 1282530098233. The next prime is 1282530098321. The reversal of 1282530098304 is 4038900352821.

1282530098304 is a `hidden beast` number, since 1 + 2 + 8 + 253 + 0 + 0 + 98 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1282530098304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14737929 + ... + 14824695.

It is an arithmetic number, because the mean of its divisors is an integer number (9292852800).

Almost surely, 2^{1282530098304} is an apocalyptic number.

1282530098304 is a gapful number since it is divisible by the number (14) 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 1282530098304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378970316800).

1282530098304 is an abundant number, since it is smaller than the sum of its proper divisors (3475410535296).

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

1282530098304 is a wasteful number, since it uses less digits than its factorization.

1282530098304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86857 (or 86839 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1282530098304 in words is "one trillion, two hundred eighty-two billion, five hundred thirty million, ninety-eight thousand, three hundred four".