30192026880000 has 960 divisors, whose sum is σ = 104209781195520. Its totient is φ = 7765696512000.

The previous prime is 30192026879969. The next prime is 30192026880073. The reversal of 30192026880000 is 8862029103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13704958899 + ... + 13704961101.

It is an arithmetic number, because the mean of its divisors is an integer number (108551855412).

Almost surely, 2^{30192026880000} is an apocalyptic number.

30192026880000 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 30192026880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52104890597760).

30192026880000 is an abundant number, since it is smaller than the sum of its proper divisors (74017754315520).

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

30192026880000 is an equidigital number, since it uses as much as digits as its factorization.

30192026880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 30192026880000 in words is "thirty trillion, one hundred ninety-two billion, twenty-six million, eight hundred eighty thousand".