1245728309280 has 1920 divisors, whose sum is σ = 5370393063168. Its totient is φ = 240343842816.

The previous prime is 1245728309261. The next prime is 1245728309299. The reversal of 1245728309280 is 829038275421.

It is an interprime number because it is at equal distance from previous prime (1245728309261) and next prime (1245728309299).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17064771324 + ... + 17064771396.

Almost surely, 2^{1245728309280} is an apocalyptic number.

1245728309280 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 1245728309280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685196531584).

1245728309280 is an abundant number, since it is smaller than the sum of its proper divisors (4124664753888).

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

1245728309280 is a wasteful number, since it uses less digits than its factorization.

1245728309280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 1245728309280 in words is "one trillion, two hundred forty-five billion, seven hundred twenty-eight million, three hundred nine thousand, two hundred eighty".