30068873841600 has 756 divisors, whose sum is σ = 124380907206192. Its totient is φ = 6860627558400.

The previous prime is 30068873841571. The next prime is 30068873841619. The reversal of 30068873841600 is 614837886003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 29113237 + ... + 30128363.

It is an arithmetic number, because the mean of its divisors is an integer number (164525009532).

Almost surely, 2^{30068873841600} is an apocalyptic number.

30068873841600 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 30068873841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62190453603096).

30068873841600 is an abundant number, since it is smaller than the sum of its proper divisors (94312033364592).

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

30068873841600 is a wasteful number, since it uses less digits than its factorization.

30068873841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015194 (or 1015165 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 30068873841600 in words is "thirty trillion, sixty-eight billion, eight hundred seventy-three million, eight hundred forty-one thousand, six hundred".