1329200088832 has 144 divisors (see below), whose sum is σ = 3357270588672. Its totient is φ = 510140252160.

The previous prime is 1329200088829. The next prime is 1329200088863. The reversal of 1329200088832 is 2388800029231.

It is a super-2 number, since 2×1329200088832² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817488 + ... + 1823920.

It is an arithmetic number, because the mean of its divisors is an integer number (23314379088).

Almost surely, 2^{1329200088832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329200088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678635294336).

1329200088832 is an abundant number, since it is smaller than the sum of its proper divisors (2028070499840).

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

1329200088832 is a wasteful number, since it uses less digits than its factorization.

1329200088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006534 (or 1006520 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 1329200088832 in words is "one trillion, three hundred twenty-nine billion, two hundred million, eighty-eight thousand, eight hundred thirty-two".