30068991590400 has 2835 divisors, whose sum is σ = 137654368104099. Its totient is φ = 6468623400960.

The previous prime is 30068991590381. The next prime is 30068991590531. The reversal of 30068991590400 is 409519986003.

The square root of 30068991590400 is 5483520.

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

30068991590400 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 8 + 9 + 9 + 1 + 590 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 703343886336 + 29365647704064 = 838656^2 + 5419008^2 .

It is a tau number, because it is divible by the number of its divisors (2835).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1768764211192 + ... + 1768764211208.

Almost surely, 2^{30068991590400} is an apocalyptic number.

30068991590400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30068991590400 is the 5483520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30068991590400

30068991590400 is an abundant number, since it is smaller than the sum of its proper divisors (107585376513699).

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

30068991590400 is an frugal number, since it uses more digits than its factorization.

30068991590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 30068991590400 in words is "thirty trillion, sixty-eight billion, nine hundred ninety-one million, five hundred ninety thousand, four hundred".