1329874820560 has 320 divisors, whose sum is σ = 3779342106624. Its totient is φ = 428575795200.

The previous prime is 1329874820537. The next prime is 1329874820581. The reversal of 1329874820560 is 650284789231.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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, 45024517 + ... + 45054043.

It is a 1-persistent number, because it is pandigital, but 2⋅1329874820560 = 2659749641120 is not.

Almost surely, 2^{1329874820560} is an apocalyptic number.

1329874820560 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 1329874820560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889671053312).

1329874820560 is an abundant number, since it is smaller than the sum of its proper divisors (2449467286064).

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

1329874820560 is a wasteful number, since it uses less digits than its factorization.

1329874820560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29722 (or 29716 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 1329874820560 in words is "one trillion, three hundred twenty-nine billion, eight hundred seventy-four million, eight hundred twenty thousand, five hundred sixty".