1980961832304 has 640 divisors, whose sum is σ = 7248147200000. Its totient is φ = 514620158976.

The previous prime is 1980961832299. The next prime is 1980961832327. The reversal of 1980961832304 is 4032381690891.

1980961832304 is a `hidden beast` number, since 19 + 8 + 0 + 9 + 618 + 3 + 2 + 3 + 0 + 4 = 666.

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 127 ways as a sum of consecutive naturals, for example, 129053622 + ... + 129068970.

It is an arithmetic number, because the mean of its divisors is an integer number (11325230000).

Almost surely, 2^{1980961832304} is an apocalyptic number.

1980961832304 is a gapful number since it is divisible by the number (14) 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 1980961832304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624073600000).

1980961832304 is an abundant number, since it is smaller than the sum of its proper divisors (5267185367696).

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

1980961832304 is a wasteful number, since it uses less digits than its factorization.

1980961832304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15467 (or 15441 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1980961832304 in words is "one trillion, nine hundred eighty billion, nine hundred sixty-one million, eight hundred thirty-two thousand, three hundred four".