30691691048200 has 288 divisors, whose sum is σ = 90859260650760. Its totient is φ = 9554175590400.

The previous prime is 30691691048159. The next prime is 30691691048251. The reversal of 30691691048200 is 284019619603.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5408071176676 + 25283619871524 = 2325526^2 + 5028282^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5796744 + ... + 9746056.

Almost surely, 2^{30691691048200} 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 30691691048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45429630325380).

30691691048200 is an abundant number, since it is smaller than the sum of its proper divisors (60167569602560).

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

30691691048200 is a wasteful number, since it uses less digits than its factorization.

30691691048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949417 (or 3949401 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 30691691048200 in words is "thirty trillion, six hundred ninety-one billion, six hundred ninety-one million, forty-eight thousand, two hundred".