1329017690880 has 1728 divisors, whose sum is σ = 5597976384000. Its totient is φ = 297364193280.

The previous prime is 1329017690879. The next prime is 1329017690911. The reversal of 1329017690880 is 880967109231.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3416497726 + ... + 3416498114.

Almost surely, 2^{1329017690880} is an apocalyptic number.

1329017690880 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 1329017690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798988192000).

1329017690880 is an abundant number, since it is smaller than the sum of its proper divisors (4268958693120).

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

1329017690880 is a wasteful number, since it uses less digits than its factorization.

1329017690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1329017690880 in words is "one trillion, three hundred twenty-nine billion, seventeen million, six hundred ninety thousand, eight hundred eighty".