1352928507280 has 240 divisors, whose sum is σ = 3824909404416. Its totient is φ = 435880304640.

The previous prime is 1352928507223. The next prime is 1352928507323. The reversal of 1352928507280 is 827058292531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106969917 + ... + 106982563.

Almost surely, 2^{1352928507280} is an apocalyptic number.

1352928507280 is a gapful number since it is divisible by the number (10) 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 1352928507280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912454702208).

1352928507280 is an abundant number, since it is smaller than the sum of its proper divisors (2471980897136).

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

1352928507280 is a wasteful number, since it uses less digits than its factorization.

1352928507280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13362 (or 13339 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 1352928507280 in words is "one trillion, three hundred fifty-two billion, nine hundred twenty-eight million, five hundred seven thousand, two hundred eighty".