30911968051200 has 1320 divisors, whose sum is σ = 118940198980680. Its totient is φ = 7927234560000.

The previous prime is 30911968051189. The next prime is 30911968051313. The reversal of 30911968051200 is 215086911903.

30911968051200 is a `hidden beast` number, since 30 + 9 + 11 + 96 + 8 + 0 + 512 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 123155251075 + ... + 123155251325.

It is an arithmetic number, because the mean of its divisors is an integer number (90106211349).

Almost surely, 2^{30911968051200} is an apocalyptic number.

30911968051200 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 30911968051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59470099490340).

30911968051200 is an abundant number, since it is smaller than the sum of its proper divisors (88028230929480).

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

30911968051200 is an frugal number, since it uses more digits than its factorization.

30911968051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 30911968051200 in words is "thirty trillion, nine hundred eleven billion, nine hundred sixty-eight million, fifty-one thousand, two hundred".