32021802405960 has 256 divisors, whose sum is σ = 102992637888000. Its totient is φ = 7943944200192.

The previous prime is 32021802405953. The next prime is 32021802405991. The reversal of 32021802405960 is 6950420812023.

It is a Cunningham number, because it is equal to 5658781²-1.

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, 260242372 + ... + 260365388.

It is an arithmetic number, because the mean of its divisors is an integer number (402314991750).

Almost surely, 2^{32021802405960} is an apocalyptic number.

32021802405960 is a gapful number since it is divisible by the number (30) 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 32021802405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51496318944000).

32021802405960 is an abundant number, since it is smaller than the sum of its proper divisors (70970835482040).

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

32021802405960 is a wasteful number, since it uses less digits than its factorization.

32021802405960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125640 (or 125636 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 32021802405960 in words is "thirty-two trillion, twenty-one billion, eight hundred two million, four hundred five thousand, nine hundred sixty".