1328905820970 has 512 divisors, whose sum is σ = 4638580531200. Its totient is φ = 262880059392.

The previous prime is 1328905820969. The next prime is 1328905821037. The reversal of 1328905820970 is 790285098231.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45267837 + ... + 45297183.

It is an arithmetic number, because the mean of its divisors is an integer number (9059727600).

Almost surely, 2^{1328905820970} is an apocalyptic number.

1328905820970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328905820970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319290265600).

1328905820970 is an abundant number, since it is smaller than the sum of its proper divisors (3309674710230).

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

1328905820970 is a wasteful number, since it uses less digits than its factorization.

1328905820970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29499 (or 29493 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1328905820970 in words is "one trillion, three hundred twenty-eight billion, nine hundred five million, eight hundred twenty thousand, nine hundred seventy".