31980608419600 has 135 divisors (see below), whose sum is σ = 77368872444381. Its totient is φ = 12703706496000.

The previous prime is 31980608419583. The next prime is 31980608419619. The reversal of 31980608419600 is 691480608913.

The square root of 31980608419600 is 5655140.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 31974817818384 + 5790601216 = 5654628^2 + 76096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17757138700 + ... + 17757140500.

Almost surely, 2^{31980608419600} is an apocalyptic number.

31980608419600 is the 5655140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31980608419600

31980608419600 is an abundant number, since it is smaller than the sum of its proper divisors (45388264024781).

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

31980608419600 is an frugal number, since it uses more digits than its factorization.

31980608419600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 55.

The spelling of 31980608419600 in words is "thirty-one trillion, nine hundred eighty billion, six hundred eight million, four hundred nineteen thousand, six hundred".